125105138220 has 96 divisors (see below), whose sum is σ = 361707042816. Its totient is φ = 32275123200.

The previous prime is 125105138219. The next prime is 125105138231. The reversal of 125105138220 is 22831501521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7332900 + ... + 7349940.

It is an arithmetic number, because the mean of its divisors is an integer number (3767781696).

Almost surely, 2^125105138220 is an apocalyptic number.

125105138220 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 125105138220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180853521408).

125105138220 is an abundant number, since it is smaller than the sum of its proper divisors (236601904596).

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

125105138220 is a wasteful number, since it uses less digits than its factorization.

125105138220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21031 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 125105138220 its reverse (22831501521), we get a palindrome (147936639741).

The spelling of 125105138220 in words is "one hundred twenty-five billion, one hundred five million, one hundred thirty-eight thousand, two hundred twenty".