125224212005100 has 432 divisors, whose sum is σ = 434334462481920. Its totient is φ = 29976903014400.

The previous prime is 125224212005047. The next prime is 125224212005141. The reversal of 125224212005100 is 1500212422521.

125224212005100 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 24 + 2 + 120 + 0 + 510 + 0 = 666.

125224212005100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125224212005100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 913783386 + ... + 913920414.

Almost surely, 2^{125224212005100} is an apocalyptic number.

125224212005100 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 125224212005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217167231240960).

125224212005100 is an abundant number, since it is smaller than the sum of its proper divisors (309110250476820).

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

125224212005100 is a wasteful number, since it uses less digits than its factorization.

125224212005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139210 (or 139200 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 125224212005100 its reverse (1500212422521), we get a palindrome (126724424427621).

The spelling of 125224212005100 in words is "one hundred twenty-five trillion, two hundred twenty-four billion, two hundred twelve million, five thousand, one hundred".