125632201242336 has 192 divisors, whose sum is σ = 348590540390400. Its totient is φ = 39536935865856.

The previous prime is 125632201242329. The next prime is 125632201242367. The reversal of 125632201242336 is 633242102236521.

It is a super-2 number, since 2×125632201242336² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552312435 + ... + 552539853.

It is an arithmetic number, because the mean of its divisors is an integer number (1815575731200).

Almost surely, 2^{125632201242336} is an apocalyptic number.

125632201242336 is a gapful number since it is divisible by the number (16) 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 125632201242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174295270195200).

125632201242336 is an abundant number, since it is smaller than the sum of its proper divisors (222958339148064).

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

125632201242336 is a wasteful number, since it uses less digits than its factorization.

125632201242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230701 (or 230693 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 125632201242336 its reverse (633242102236521), we get a palindrome (758874303478857).

The spelling of 125632201242336 in words is "one hundred twenty-five trillion, six hundred thirty-two billion, two hundred one million, two hundred forty-two thousand, three hundred thirty-six".