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123020013112192 = 277593231533089
BaseRepresentation
bin11011111110001011010100…
…001011101000101110000000
3121010120121011020020202012001
4123332023110023220232000
5112111024441324042232
61113350340330513344
734624621415116150
oct3376132413505600
9533517136222161
10123020013112192
113621a549305329
121196a129595854
1353849782757a1
1422542b3ca2760
15e35075d556e7
hex6fe2d42e8b80

123020013112192 has 64 divisors (see below), whose sum is σ = 280562537138400. Its totient is φ = 52633953828864.

The previous prime is 123020013112153. The next prime is 123020013112211. The reversal of 123020013112192 is 291211310020321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1230200131121922 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 123020013112192.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 115235217 + ... + 116297872.

Almost surely, 2123020013112192 is an apocalyptic number.

It is an amenable number.

123020013112192 is an abundant number, since it is smaller than the sum of its proper divisors (157542524026208).

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

123020013112192 is an equidigital number, since it uses as much as digits as its factorization.

123020013112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231533703 (or 231533691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 123020013112192 in words is "one hundred twenty-three trillion, twenty billion, thirteen million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 593 896 1186 2372 4151 4744 8302 9488 16604 18976 33208 37952 66416 75904 132832 265664 531328 231533089 463066178 926132356 1620731623 1852264712 3241463246 3704529424 6482926492 7409058848 12965852984 14818117696 25931705968 29636235392 51863411936 103726823872 137299121777 207453647744 274598243554 549196487108 961093852439 1098392974216 1922187704878 2196785948432 3844375409756 4393571896864 7688750819512 8787143793728 15377501639024 17574287587456 30755003278048 61510006556096 123020013112192