125242333524000 has 1152 divisors, whose sum is σ = 573272611591680. Its totient is φ = 25126972416000.

The previous prime is 125242333523969. The next prime is 125242333524013. The reversal of 125242333524000 is 425333242521.

125242333524000 is a `hidden beast` number, since 1 + 2 + 5 + 242 + 3 + 3 + 3 + 5 + 2 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79609014 + ... + 81166986.

It is an arithmetic number, because the mean of its divisors is an integer number (497632475340).

Almost surely, 2^{125242333524000} is an apocalyptic number.

125242333524000 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 125242333524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286636305795840).

125242333524000 is an abundant number, since it is smaller than the sum of its proper divisors (448030278067680).

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

125242333524000 is a wasteful number, since it uses less digits than its factorization.

125242333524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558051 (or 1558030 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 125242333524000 its reverse (425333242521), we get a palindrome (125667666766521).

The spelling of 125242333524000 in words is "one hundred twenty-five trillion, two hundred forty-two billion, three hundred thirty-three million, five hundred twenty-four thousand".