125612306216316 has 72 divisors (see below), whose sum is σ = 319390994495664. Its totient is φ = 41624097696000.

The previous prime is 125612306216311. The next prime is 125612306216321. The reversal of 125612306216316 is 613612603216521.

It is a happy number.

125612306216316 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 1 + 2 + 3 + 0 + 6 + 2 + 1 + 631 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (125612306216311) and next prime (125612306216321).

It is a super-2 number, since 2×125612306216316² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125612306216311) 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, 54937855 + ... + 57178601.

It is an arithmetic number, because the mean of its divisors is an integer number (4435986034662).

Almost surely, 2^{125612306216316} is an apocalyptic number.

It is an amenable number.

125612306216316 is an abundant number, since it is smaller than the sum of its proper divisors (193778688279348).

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

125612306216316 is a wasteful number, since it uses less digits than its factorization.

125612306216316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249931 (or 2249926 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 125612306216316 in words is "one hundred twenty-five trillion, six hundred twelve billion, three hundred six million, two hundred sixteen thousand, three hundred sixteen".