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12101022102120 = 23357131109969303
BaseRepresentation
bin1011000000010111110100…
…0111111011001001101000
31120211211212000222121120020
42300011331013323021220
53041230343124231440
641423044404200440
72356161415504410
oct260057507731150
946754760877506
1012101022102120
11394601855a3a6
121435313999120
1369a176ba7683
142db99a6a1640
1515eb96c553d0
hexb017d1fb268

12101022102120 has 128 divisors (see below), whose sum is σ = 41805930608640. Its totient is φ = 2744833777920.

The previous prime is 12101022102053. The next prime is 12101022102157. The reversal of 12101022102120 is 2120122010121.

12101022102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12101022102120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54874612 + ... + 55094691.

It is an arithmetic number, because the mean of its divisors is an integer number (326608832880).

Almost surely, 212101022102120 is an apocalyptic number.

12101022102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101022102120 is an abundant number, since it is smaller than the sum of its proper divisors (29704908506520).

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

12101022102120 is a wasteful number, since it uses less digits than its factorization.

12101022102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109969455 (or 109969451 counting only the distinct ones).

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

Adding to 12101022102120 its reverse (2120122010121), we get a palindrome (14221144112241).

The spelling of 12101022102120 in words is "twelve trillion, one hundred one billion, twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1965 2620 2751 3144 3668 3930 4585 5240 5502 7336 7860 9170 11004 13755 15720 18340 22008 27510 36680 55020 110040 109969303 219938606 329907909 439877212 549846515 659815818 769785121 879754424 1099693030 1319631636 1539570242 1649539545 2199386060 2309355363 2639263272 3079140484 3299079090 3848925605 4398772120 4618710726 6158280968 6598158180 7697851210 9237421452 11546776815 13196316360 14405978693 15395702420 18474842904 23093553630 28811957386 30791404840 43217936079 46187107260 57623914772 72029893465 86435872158 92374214520 100841850851 115247829544 144059786930 172871744316 201683701702 216089680395 288119573860 302525552553 345743488632 403367403404 432179360790 504209254255 576239147720 605051105106 806734806808 864358721580 1008418508510 1210102210212 1512627762765 1728717443160 2016837017020 2420204420424 3025255525530 4033674034040 6050511051060 12101022102120