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121210202201120 = 25510943116125583
BaseRepresentation
bin11011100011110101110011…
…000010111001110000100000
3120220011120201101201122211122
4123203311303002321300200
5111341401443230413440
61105443110450031412
734350101543154614
oct3343656302716040
9526146641648748
10121210202201120
1135691a5a220a7a
1211717423578568
1352830c4579c76
1421d0868513344
15e02e4ed407b5
hex6e3d730b9c20

121210202201120 has 96 divisors (see below), whose sum is σ = 289656770135040. Its totient is φ = 47927809797120.

The previous prime is 121210202201107. The next prime is 121210202201131. The reversal of 121210202201120 is 21102202012121.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 546152 + ... + 15579431.

It is an arithmetic number, because the mean of its divisors is an integer number (3017258022240).

Almost surely, 2121210202201120 is an apocalyptic number.

121210202201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144828385067520).

121210202201120 is an abundant number, since it is smaller than the sum of its proper divisors (168446567933920).

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

121210202201120 is a wasteful number, since it uses less digits than its factorization.

121210202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16126138 (or 16126130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121210202201120 its reverse (21102202012121), we get a palindrome (142312404213241).

The spelling of 121210202201120 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 431 436 545 862 872 1090 1724 1744 2155 2180 3448 3488 4310 4360 6896 8620 8720 13792 17240 17440 34480 46979 68960 93958 187916 234895 375832 469790 751664 939580 1503328 1879160 3758320 7516640 16125583 32251166 64502332 80627915 129004664 161255830 258009328 322511660 516018656 645023320 1290046640 1757688547 2580093280 3515377094 6950126273 7030754188 8788442735 13900252546 14061508376 17576885470 27800505092 28123016752 34750631365 35153770940 55601010184 56246033504 69501262730 70307541880 111202020368 139002525460 140615083760 222404040736 278005050920 281230167520 556010101840 757563763757 1112020203680 1515127527514 3030255055028 3787818818785 6060510110056 7575637637570 12121020220112 15151275275140 24242040440224 30302550550280 60605101100560 121210202201120