125197906303920 has 480 divisors, whose sum is σ = 434021898820608. Its totient is φ = 29747058352128.

The previous prime is 125197906303919. The next prime is 125197906303949. The reversal of 125197906303920 is 29303609791521.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2101769977 + ... + 2101829543.

Almost surely, 2^{125197906303920} is an apocalyptic number.

125197906303920 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 125197906303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217010949410304).

125197906303920 is an abundant number, since it is smaller than the sum of its proper divisors (308823992516688).

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

125197906303920 is a wasteful number, since it uses less digits than its factorization.

125197906303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61065 (or 61040 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 57.

The spelling of 125197906303920 in words is "one hundred twenty-five trillion, one hundred ninety-seven billion, nine hundred six million, three hundred three thousand, nine hundred twenty".