125632512000 has 640 divisors, whose sum is σ = 471103776000. Its totient is φ = 33030144000.

The previous prime is 125632511999. The next prime is 125632512029. The reversal of 125632512000 is 215236521.

It is a happy number.

125632512000 is a `hidden beast` number, since 1 + 2 + 5 + 632 + 5 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769471965 + ... + 1769472035.

It is an arithmetic number, because the mean of its divisors is an integer number (736099650).

Almost surely, 2^125632512000 is an apocalyptic number.

125632512000 is a gapful number since it is divisible by the number (10) 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 125632512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235551888000).

125632512000 is an abundant number, since it is smaller than the sum of its proper divisors (345471264000).

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

125632512000 is an frugal number, since it uses more digits than its factorization.

125632512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 125632512000 its reverse (215236521), we get a palindrome (125847748521).

The spelling of 125632512000 in words is "one hundred twenty-five billion, six hundred thirty-two million, five hundred twelve thousand".