125821214838 has 256 divisors, whose sum is σ = 337841280000. Its totient is φ = 34282828800.

The previous prime is 125821214719. The next prime is 125821214839. The reversal of 125821214838 is 838412128521.

125821214838 is a `hidden beast` number, since 1 + 2 + 582 + 1 + 21 + 48 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125821214793 and 125821214802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125821214839) 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 127 ways as a sum of consecutive naturals, for example, 17117188 + ... + 17124536.

It is an arithmetic number, because the mean of its divisors is an integer number (1319692500).

Almost surely, 2^125821214838 is an apocalyptic number.

125821214838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125821214838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640000).

125821214838 is an abundant number, since it is smaller than the sum of its proper divisors (212020065162).

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

125821214838 is a wasteful number, since it uses less digits than its factorization.

125821214838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7462 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 125821214838 in words is "one hundred twenty-five billion, eight hundred twenty-one million, two hundred fourteen thousand, eight hundred thirty-eight".