125216133120 has 416 divisors, whose sum is σ = 479429059200. Its totient is φ = 30820663296.

The previous prime is 125216133083. The next prime is 125216133137. The reversal of 125216133120 is 21331612521.

125216133120 is a `hidden beast` number, since 1 + 2 + 5 + 21 + 613 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7179771 + ... + 7197189.

It is an arithmetic number, because the mean of its divisors is an integer number (1152473700).

Almost surely, 2^125216133120 is an apocalyptic number.

125216133120 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 125216133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239714529600).

125216133120 is an abundant number, since it is smaller than the sum of its proper divisors (354212926080).

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

125216133120 is a wasteful number, since it uses less digits than its factorization.

125216133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470 (or 17442 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 125216133120 its reverse (21331612521), we get a palindrome (146547745641).

The spelling of 125216133120 in words is "one hundred twenty-five billion, two hundred sixteen million, one hundred thirty-three thousand, one hundred twenty".