712122048 has 168 divisors, whose sum is σ = 2259518976. Its totient is φ = 212620800.

The previous prime is 712122043. The next prime is 712122133. The reversal of 712122048 is 840221217.

It is a super-2 number, since 2×712122048² = 1014235622495428608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (712122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449065 + ... + 450647.

Almost surely, 2^712122048 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 712122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129759488).

712122048 is an abundant number, since it is smaller than the sum of its proper divisors (1547396928).

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

712122048 is a wasteful number, since it uses less digits than its factorization.

712122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 712122048 is about 26685.6150013448. The cubic root of 712122048 is about 893.0000380380. Note that the first 4 decimals are identical.

It can be divided in two parts, 712 and 122048, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 712122048 in words is "seven hundred twelve million, one hundred twenty-two thousand, forty-eight".