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121020112002020 = 225711261133009401
BaseRepresentation
bin11011100001000100110000…
…110010010101101111100100
3120212111102001200111000120012
4123201010300302111233210
5111330243142133031040
61105215512201225352
734330262123140460
oct3341046062255744
9525442050430505
10121020112002020
1135619383267980
12116a6612792258
13526b1bc35680a
1421c55945d54a0
15ded0268ad865
hex6e1130c95be4

121020112002020 has 96 divisors (see below), whose sum is σ = 316864896074496. Its totient is φ = 37719097344000.

The previous prime is 121020112002019. The next prime is 121020112002029. The reversal of 121020112002020 is 20200211020121.

It is a super-3 number, since 3×1210201120020203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121020112001986 and 121020112002004.

It is not an unprimeable number, because it can be changed into a prime (121020112002029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38709320 + ... + 41718720.

It is an arithmetic number, because the mean of its divisors is an integer number (3300676000776).

Almost surely, 2121020112002020 is an apocalyptic number.

121020112002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020112002020 is an abundant number, since it is smaller than the sum of its proper divisors (195844784072476).

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

121020112002020 is a wasteful number, since it uses less digits than its factorization.

121020112002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035541 (or 3035539 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121020112002020 its reverse (20200211020121), we get a palindrome (141220323022141).

The spelling of 121020112002020 in words is "one hundred twenty-one trillion, twenty billion, one hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 26113 52226 104452 130565 182791 261130 287243 365582 522260 574486 731164 913955 1148972 1436215 1827910 2010701 2872430 3009401 3655820 4021402 5744860 6018802 8042804 10053505 12037604 15047005 20107010 21065807 30094010 33103411 40214020 42131614 60188020 66206822 84263228 105329035 132413644 165517055 210658070 231723877 331034110 421316140 463447754 662068220 926895508 1158619385 2317238770 4634477540 78584488313 157168976626 314337953252 392922441565 550091418191 785844883130 864429371443 1100182836382 1571689766260 1728858742886 2200365672764 2750457090955 3457717485772 4322146857215 5500914181910 6051005600101 8644293714430 11001828363820 12102011200202 17288587428860 24204022400404 30255028000505 60510056001010 121020112002020