124953312 has 144 divisors (see below), whose sum is σ = 373234176. Its totient is φ = 36537600.

The previous prime is 124953293. The next prime is 124953341. The reversal of 124953312 is 213359421.

It is a super-2 number, since 2×124953312² = 31226660359538688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 124953312.

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 23 ways as a sum of consecutive naturals, for example, 359923 + ... + 360269.

It is an arithmetic number, because the mean of its divisors is an integer number (2591904).

Almost surely, 2^124953312 is an apocalyptic number.

124953312 is a gapful number since it is divisible by the number (12) 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 124953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617088).

124953312 is an abundant number, since it is smaller than the sum of its proper divisors (248280864).

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

124953312 is a wasteful number, since it uses less digits than its factorization.

124953312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 124953312 is about 11178.2517416634. The cubic root of 124953312 is about 499.9377415814.

The spelling of 124953312 in words is "one hundred twenty-four million, nine hundred fifty-three thousand, three hundred twelve".