124668320400 has 960 divisors, whose sum is σ = 502813651200. Its totient is φ = 29123297280.

The previous prime is 124668320389. The next prime is 124668320401. The reversal of 124668320400 is 4023866421.

124668320400 is a `hidden beast` number, since 1 + 246 + 6 + 8 + 3 + 2 + 0 + 400 = 666.

It is a super-2 number, since 2×124668320400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (124668320401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272796972 + ... + 272797428.

It is an arithmetic number, because the mean of its divisors is an integer number (523764220).

Almost surely, 2^124668320400 is an apocalyptic number.

124668320400 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 124668320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251406825600).

124668320400 is an abundant number, since it is smaller than the sum of its proper divisors (378145330800).

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

124668320400 is a wasteful number, since it uses less digits than its factorization.

124668320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 124668320400 in words is "one hundred twenty-four billion, six hundred sixty-eight million, three hundred twenty thousand, four hundred".