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12370408320 = 2735233767113
BaseRepresentation
bin10111000010101010…
…10111001110000000
31011221010002212001010
423201111113032000
5200313311031240
65403300440520
7615356510244
oct134125271600
934833085033
1012370408320
115278855956
1224929a9140
131221b14c4a
14854cbc424
154c603b280
hex2e1557380

12370408320 has 512 divisors, whose sum is σ = 43267322880. Its totient is φ = 2997485568.

The previous prime is 12370408301. The next prime is 12370408331. The reversal of 12370408320 is 2380407321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109472584 + ... + 109472696.

It is an arithmetic number, because the mean of its divisors is an integer number (84506490).

Almost surely, 212370408320 is an apocalyptic number.

12370408320 is a gapful number since it is divisible by the number (10) 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 12370408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633661440).

12370408320 is an abundant number, since it is smaller than the sum of its proper divisors (30896914560).

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

12370408320 is a wasteful number, since it uses less digits than its factorization.

12370408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Subtracting from 12370408320 its reverse (2380407321), we obtain a palindrome (9990000999).

The spelling of 12370408320 in words is "twelve billion, three hundred seventy million, four hundred eight thousand, three hundred twenty".