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121200220301100 = 223522330203581573
BaseRepresentation
bin11011100011101100100000…
…000100111110011100101100
3120220010121221202000121012220
4123203230200010332130230
5111341221022344113400
61105434340151155340
734346266305336363
oct3343544004763454
9526117852017186
10121200220301100
11356887a7749826
12117154b8675b50
135282193559155
1421d019c9427da
15e02a6885a7a0
hex6e3b2013e72c

121200220301100 has 144 divisors (see below), whose sum is σ = 365932018351872. Its totient is φ = 30913762077440.

The previous prime is 121200220301059. The next prime is 121200220301101. The reversal of 121200220301100 is 1103022002121.

It is a super-2 number, since 2×1212002203011002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121200220301100.

It is not an unprimeable number, because it can be changed into a prime (121200220301101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208109914 + ... + 208691486.

It is an arithmetic number, because the mean of its divisors is an integer number (2541194571888).

Almost surely, 2121200220301100 is an apocalyptic number.

121200220301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200220301100 is an abundant number, since it is smaller than the sum of its proper divisors (244731798050772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121200220301100 is a wasteful number, since it uses less digits than its factorization.

121200220301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611816 (or 611809 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121200220301100 its reverse (1103022002121), we get a palindrome (122303242303221).

The spelling of 121200220301100 in words is "one hundred twenty-one trillion, two hundred billion, two hundred twenty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 30203 60406 90609 120812 151015 181218 302030 362436 453045 581573 604060 694669 755075 906090 1163146 1389338 1510150 1744719 1812180 2084007 2265225 2326292 2778676 2907865 3020300 3473345 3489438 4168014 4530450 5815730 6946690 6978876 8336028 8723595 9060900 10420035 11631460 13376179 13893380 14539325 17366725 17447190 20840070 26752358 29078650 34733450 34894380 40128537 41680140 43617975 52100175 53504716 58157300 66880895 69466900 80257074 87235950 104200350 133761790 160514148 174471900 200642685 208400700 267523580 334404475 401285370 668808950 802570740 1003213425 1337617900 2006426850 4012853700 17565249319 35130498638 52695747957 70260997276 87826246595 105391495914 175652493190 210782991828 263478739785 351304986380 404000734337 439131232975 526957479570 808001468674 878262465950 1053914959140 1212002203011 1317393698925 1616002937348 1756524931900 2020003671685 2424004406022 2634787397850 4040007343370 4848008812044 5269574795700 6060011015055 8080014686740 10100018358425 12120022030110 20200036716850 24240044060220 30300055075275 40400073433700 60600110150550 121200220301100