125323826112 has 336 divisors, whose sum is σ = 388825557120. Its totient is φ = 38465280000.

The previous prime is 125323826099. The next prime is 125323826113. The reversal of 125323826112 is 211628323521.

125323826112 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 38 + 2 + 611 + 2 = 666.

It is a super-2 number, since 2×125323826112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125323826113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118118062 + ... + 118119122.

It is an arithmetic number, because the mean of its divisors is an integer number (1157218920).

Almost surely, 2^125323826112 is an apocalyptic number.

125323826112 is a gapful number since it is divisible by the number (12) 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 125323826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194412778560).

125323826112 is an abundant number, since it is smaller than the sum of its proper divisors (263501731008).

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

125323826112 is a wasteful number, since it uses less digits than its factorization.

125323826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1379 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 125323826112 in words is "one hundred twenty-five billion, three hundred twenty-three million, eight hundred twenty-six thousand, one hundred twelve".