125103242880 has 1536 divisors, whose sum is σ = 578270085120. Its totient is φ = 25082265600.

The previous prime is 125103242843. The next prime is 125103242881. The reversal of 125103242880 is 88242301521.

It is a happy number.

125103242880 is a `hidden beast` number, since 1 + 2 + 51 + 0 + 324 + 288 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (125103242881) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 371226072 + ... + 371226408.

It is an arithmetic number, because the mean of its divisors is an integer number (376477920).

Almost surely, 2^125103242880 is an apocalyptic number.

125103242880 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 125103242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289135042560).

125103242880 is an abundant number, since it is smaller than the sum of its proper divisors (453166842240).

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

125103242880 is a wasteful number, since it uses less digits than its factorization.

125103242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 125103242880 in words is "one hundred twenty-five billion, one hundred three million, two hundred forty-two thousand, eight hundred eighty".