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120977265012 = 2232927111031163
BaseRepresentation
bin111000010101011001…
…1101001000101110100
3102120021010001211001220
41300222303221011310
53440230134440022
6131324242350340
711511633533352
oct1605263510564
9376233054056
10120977265012
114734056a85a
121b54305b3b0
13b53c7c42a6
145bd90567d2
153230b9585c
hex1c2ace9174

120977265012 has 96 divisors (see below), whose sum is σ = 293609594880. Its totient is φ = 38723045760.

The previous prime is 120977264999. The next prime is 120977265023. The reversal of 120977265012 is 210562779021.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 104021143 + ... + 104022305.

It is an arithmetic number, because the mean of its divisors is an integer number (3058433280).

Almost surely, 2120977265012 is an apocalyptic number.

120977265012 is a gapful number since it is divisible by the number (12) 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 120977265012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146804797440).

120977265012 is an abundant number, since it is smaller than the sum of its proper divisors (172632329868).

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

120977265012 is a wasteful number, since it uses less digits than its factorization.

120977265012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 120977265012 in words is "one hundred twenty billion, nine hundred seventy-seven million, two hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 271 348 542 813 1084 1103 1163 1626 2206 2326 3252 3309 3489 4412 4652 6618 6978 7859 13236 13956 15718 23577 31436 31987 33727 47154 63974 67454 94308 95961 101181 127948 134908 191922 202362 298913 315173 383844 404724 597826 630346 896739 945519 1195652 1260692 1282789 1793478 1891038 2565578 3586956 3782076 3848367 5131156 7696734 8668477 9140017 15393468 17336954 18280034 26005431 27420051 34673908 36560068 37200881 52010862 54840102 74401762 104021724 109680204 111602643 148803524 223205286 347635819 446410572 695271638 1042907457 1390543276 2085814914 4171629828 10081438751 20162877502 30244316253 40325755004 60488632506 120977265012