125621280000 has 720 divisors, whose sum is σ = 471246652800. Its totient is φ = 33405696000.

The previous prime is 125621279981. The next prime is 125621280017. The reversal of 125621280000 is 82126521.

It is a happy number.

125621280000 is a `hidden beast` number, since 12 + 5 + 621 + 28 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349919821 + ... + 349920179.

It is an arithmetic number, because the mean of its divisors is an integer number (654509240).

Almost surely, 2^125621280000 is an apocalyptic number.

125621280000 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 125621280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235623326400).

125621280000 is an abundant number, since it is smaller than the sum of its proper divisors (345625372800).

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

125621280000 is an frugal number, since it uses more digits than its factorization.

125621280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 125621280000 in words is "one hundred twenty-five billion, six hundred twenty-one million, two hundred eighty thousand".