125762122368 has 512 divisors, whose sum is σ = 417770784000. Its totient is φ = 37010276352.

The previous prime is 125762122363. The next prime is 125762122373. The reversal of 125762122368 is 863221267521.

125762122368 is a `hidden beast` number, since 1 + 2 + 5 + 76 + 212 + 2 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (125762122363) and next prime (125762122373).

It is a super-2 number, since 2×125762122368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125762122363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126140046 + ... + 126141042.

Almost surely, 2^125762122368 is an apocalyptic number.

125762122368 is a gapful number since it is divisible by the number (18) 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 125762122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208885392000).

125762122368 is an abundant number, since it is smaller than the sum of its proper divisors (292008661632).

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

125762122368 is a wasteful number, since it uses less digits than its factorization.

125762122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

Adding to 125762122368 its reverse (863221267521), we get a palindrome (988983389889).

The spelling of 125762122368 in words is "one hundred twenty-five billion, seven hundred sixty-two million, one hundred twenty-two thousand, three hundred sixty-eight".