10612492128 has 144 divisors (see below), whose sum is σ = 36006813360. Its totient is φ = 3032128512.

The previous prime is 10612492127. The next prime is 10612492139. The reversal of 10612492128 is 82129421601.

10612492128 is a `hidden beast` number, since 10 + 612 + 4 + 9 + 2 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10612492128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10612492092 and 10612492101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612492127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83001 + ... + 167672.

It is an arithmetic number, because the mean of its divisors is an integer number (250047315).

Almost surely, 2^10612492128 is an apocalyptic number.

10612492128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10612492128 is an abundant number, since it is smaller than the sum of its proper divisors (25394321232).

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

10612492128 is a wasteful number, since it uses less digits than its factorization.

10612492128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250706 (or 250685 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10612492128 in words is "ten billion, six hundred twelve million, four hundred ninety-two thousand, one hundred twenty-eight".