125121527557572 has 288 divisors, whose sum is σ = 368018371123200. Its totient is φ = 32387067288576.

The previous prime is 125121527557547. The next prime is 125121527557583. The reversal of 125121527557572 is 275755725121521.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 516655929 + ... + 516898047.

It is an arithmetic number, because the mean of its divisors is an integer number (1277841566400).

Almost surely, 2^{125121527557572} is an apocalyptic number.

125121527557572 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 125121527557572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184009185561600).

125121527557572 is an abundant number, since it is smaller than the sum of its proper divisors (242896843565628).

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

125121527557572 is a wasteful number, since it uses less digits than its factorization.

125121527557572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242835 (or 242820 counting only the distinct ones).

The product of its digits is 17150000, while the sum is 57.

The spelling of 125121527557572 in words is "one hundred twenty-five trillion, one hundred twenty-one billion, five hundred twenty-seven million, five hundred fifty-seven thousand, five hundred seventy-two".