125226126573408 has 288 divisors, whose sum is σ = 428219843788800. Its totient is φ = 35497168213248.

The previous prime is 125226126573371. The next prime is 125226126573419. The reversal of 125226126573408 is 804375621622521.

125226126573408 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 2 + 6 + 1 + 26 + 573 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125226126573408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6268648 + ... + 17021991.

It is an arithmetic number, because the mean of its divisors is an integer number (1486874457600).

Almost surely, 2^{125226126573408} is an apocalyptic number.

125226126573408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125226126573408 is an abundant number, since it is smaller than the sum of its proper divisors (302993717215392).

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

125226126573408 is a wasteful number, since it uses less digits than its factorization.

125226126573408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23290799 (or 23290778 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 125226126573408 in words is "one hundred twenty-five trillion, two hundred twenty-six billion, one hundred twenty-six million, five hundred seventy-three thousand, four hundred eight".