125130333120 has 224 divisors, whose sum is σ = 428282648640. Its totient is φ = 30770135040.

The previous prime is 125130333073. The next prime is 125130333131. The reversal of 125130333120 is 21333031521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13835800 + ... + 13844840.

It is an arithmetic number, because the mean of its divisors is an integer number (1911976110).

Almost surely, 2^125130333120 is an apocalyptic number.

125130333120 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 125130333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214141324320).

125130333120 is an abundant number, since it is smaller than the sum of its proper divisors (303152315520).

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

125130333120 is a wasteful number, since it uses less digits than its factorization.

125130333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 125130333120 its reverse (21333031521), we get a palindrome (146463364641).

The spelling of 125130333120 in words is "one hundred twenty-five billion, one hundred thirty million, three hundred thirty-three thousand, one hundred twenty".