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12106374373125 = 32542152244333
BaseRepresentation
bin1011000000101011110000…
…1001001101111100000101
31120212100200001020011002200
42300022330021031330011
53041322323314420000
641425331442025113
72356441146165144
oct260127411157405
946770601204080
1012106374373125
1139483147a286a
121436368348199
1369a81aa06036
142dbd4746175b
1515edaba93500
hexb02bc24df05

12106374373125 has 30 divisors (see below), whose sum is σ = 21851736723102. Its totient is φ = 6456732996000.

The previous prime is 12106374373123. The next prime is 12106374373127. The reversal of 12106374373125 is 52137347360121.

12106374373125 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 637 + 4 + 3 + 7 + 3 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12106374373123) and next prime (12106374373127).

It can be written as a sum of positive squares in 5 ways, for example, as 1445058835236 + 10661315537889 = 1202106^2 + 3265167^2 .

It is not a de Polignac number, because 12106374373125 - 21 = 12106374373123 is a prime.

It is a super-3 number, since 3×121063743731253 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106374373123) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1076116542 + ... + 1076127791.

Almost surely, 212106374373125 is an apocalyptic number.

12106374373125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12106374373125 is a deficient number, since it is larger than the sum of its proper divisors (9745362349977).

12106374373125 is an equidigital number, since it uses as much as digits as its factorization.

12106374373125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152244359 (or 2152244341 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 12106374373125 in words is "twelve trillion, one hundred six billion, three hundred seventy-four million, three hundred seventy-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 2152244333 6456732999 10761221665 19370198997 32283664995 53806108325 96850994985 161418324975 269030541625 484254974925 807091624875 1345152708125 2421274874625 4035458124375 12106374373125