124079290560 has 448 divisors, whose sum is σ = 462905856000. Its totient is φ = 31236710400.

The previous prime is 124079290541. The next prime is 124079290561. The reversal of 124079290560 is 65092970421.

124079290560 is a `hidden beast` number, since 1 + 240 + 79 + 290 + 56 + 0 = 666.

It is a super-2 number, since 2×124079290560² (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 not an unprimeable number, because it can be changed into a prime (124079290561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10975791 + ... + 10987089.

It is an arithmetic number, because the mean of its divisors is an integer number (1033272000).

Almost surely, 2^124079290560 is an apocalyptic number.

124079290560 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 124079290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231452928000).

124079290560 is an abundant number, since it is smaller than the sum of its proper divisors (338826565440).

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

124079290560 is a wasteful number, since it uses less digits than its factorization.

124079290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 124079290560 in words is "one hundred twenty-four billion, seventy-nine million, two hundred ninety thousand, five hundred sixty".