124111113984 has 432 divisors, whose sum is σ = 431807541984. Its totient is φ = 33774796800.

The previous prime is 124111113949. The next prime is 124111114007. The reversal of 124111113984 is 489311111421.

124111113984 is a `hidden beast` number, since 1 + 241 + 11 + 11 + 398 + 4 = 666.

It is a super-2 number, since 2×124111113984² (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12185374 + ... + 12195554.

Almost surely, 2^124111113984 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 124111113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215903770992).

124111113984 is an abundant number, since it is smaller than the sum of its proper divisors (307696428000).

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

124111113984 is a wasteful number, since it uses less digits than its factorization.

124111113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10247 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The spelling of 124111113984 in words is "one hundred twenty-four billion, one hundred eleven million, one hundred thirteen thousand, nine hundred eighty-four".