124944145920 has 1440 divisors, whose sum is σ = 532462170240. Its totient is φ = 27769651200.

The previous prime is 124944145919. The next prime is 124944145927. The reversal of 124944145920 is 29541449421.

124944145920 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 44 + 14 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×124944145920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124944145927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4030456305 + ... + 4030456335.

It is an arithmetic number, because the mean of its divisors is an integer number (369765396).

Almost surely, 2^124944145920 is an apocalyptic number.

124944145920 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 124944145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266231085120).

124944145920 is an abundant number, since it is smaller than the sum of its proper divisors (407518024320).

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

124944145920 is an equidigital number, since it uses as much as digits as its factorization.

124944145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 124944145920 in words is "one hundred twenty-four billion, nine hundred forty-four million, one hundred forty-five thousand, nine hundred twenty".