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12220101102120 = 23353713121009733
BaseRepresentation
bin1011000111010011011011…
…0010010000101000101000
31121021020012212010120120120
42301310312302100220220
53100203231340231440
641553500440323240
72400605332345542
oct261646662205050
947236185116516
1012220101102120
11399157454959a
121454407173520
136a8473324a12
14303655582692
15162d15e31dd0
hexb1d36c90a28

12220101102120 has 128 divisors (see below), whose sum is σ = 37938537267840. Its totient is φ = 3146417464320.

The previous prime is 12220101102107. The next prime is 12220101102137. The reversal of 12220101102120 is 2120110102221.

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 12220101102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9923227 + ... + 11086506.

It is an arithmetic number, because the mean of its divisors is an integer number (296394822405).

Almost surely, 212220101102120 is an apocalyptic number.

12220101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220101102120 is an abundant number, since it is smaller than the sum of its proper divisors (25718436165720).

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

12220101102120 is a wasteful number, since it uses less digits than its factorization.

12220101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21009915 (or 21009911 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220101102120 its reverse (2120110102221), we get a palindrome (14340211204341).

The spelling of 12220101102120 in words is "twelve trillion, two hundred twenty billion, one hundred one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 131 148 185 222 262 296 370 393 444 524 555 655 740 786 888 1048 1110 1310 1480 1572 1965 2220 2620 3144 3930 4440 4847 5240 7860 9694 14541 15720 19388 24235 29082 38776 48470 58164 72705 96940 116328 145410 193880 290820 581640 21009733 42019466 63029199 84038932 105048665 126058398 168077864 210097330 252116796 315145995 420194660 504233592 630291990 777360121 840389320 1260583980 1554720242 2332080363 2521167960 2752275023 3109440484 3886800605 4664160726 5504550046 6218880968 7773601210 8256825069 9328321452 11009100092 11660401815 13761375115 15547202420 16513650138 18656642904 22018200184 23320803630 27522750230 31094404840 33027300276 41284125345 46641607260 55045500460 66054600552 82568250690 93283214520 101834175851 110091000920 165136501380 203668351702 305502527553 330273002760 407336703404 509170879255 611005055106 814673406808 1018341758510 1222010110212 1527512637765 2036683517020 2444020220424 3055025275530 4073367034040 6110050551060 12220101102120