125218912 has 72 divisors (see below), whose sum is σ = 308883456. Its totient is φ = 49529088.

The previous prime is 125218903. The next prime is 125218921. The reversal of 125218912 is 219812521.

It is an interprime number because it is at equal distance from previous prime (125218903) and next prime (125218921).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17313 + ... + 23455.

It is an arithmetic number, because the mean of its divisors is an integer number (4290048).

Almost surely, 2^125218912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125218912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

125218912 is an abundant number, since it is smaller than the sum of its proper divisors (183664544).

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

125218912 is a wasteful number, since it uses less digits than its factorization.

125218912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6165 counting only the distinct ones).

The product of its digits is 2880, while the sum is 31.

The square root of 125218912 is about 11190.1256471945. The cubic root of 125218912 is about 500.2917124413.

It can be divided in two parts, 1252 and 18912, that added together give a square (20164 = 142²).

The spelling of 125218912 in words is "one hundred twenty-five million, two hundred eighteen thousand, nine hundred twelve".