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120989063124 = 223331157123003
BaseRepresentation
bin111000010101110000…
…0101001011111010100
3102120021221021020001000
41300223200221133110
53440241200004444
6131325343303300
711512136032236
oct1605340513724
9376257236030
10120989063124
1147347198966
121b546baab30
13b542095417
145bda848256
153231c26469
hex1c2b8297d4

120989063124 has 96 divisors (see below), whose sum is σ = 324014100480. Its totient is φ = 39002191200.

The previous prime is 120989063059. The next prime is 120989063147. The reversal of 120989063124 is 421360989021.

120989063124 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 8 + 9 + 0 + 631 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120989063124.

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, 5248207 + ... + 5271209.

It is an arithmetic number, because the mean of its divisors is an integer number (3375146880).

Almost surely, 2120989063124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120989063124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162007050240).

120989063124 is an abundant number, since it is smaller than the sum of its proper divisors (203025037356).

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

120989063124 is a wasteful number, since it uses less digits than its factorization.

120989063124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24618 (or 24610 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 120989063124 in words is "one hundred twenty billion, nine hundred eighty-nine million, sixty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1571 1674 3142 3348 4713 6284 9426 14139 18852 23003 28278 42417 46006 48701 56556 69009 84834 92012 97402 138018 146103 169668 194804 207027 276036 292206 414054 438309 584412 621081 713093 828108 876618 1242162 1314927 1426186 1753236 2139279 2484324 2629854 2852372 4278558 5259708 6417837 8557116 12835674 19253511 25671348 36137713 38507022 72275426 77014044 108413139 144550852 216826278 325239417 433652556 650478834 975718251 1120269103 1300957668 1951436502 2240538206 3360807309 3902873004 4481076412 6721614618 10082421927 13443229236 20164843854 30247265781 40329687708 60494531562 120989063124