124086104681328 has 120 divisors (see below), whose sum is σ = 360153160816176. Its totient is φ = 41359438771200.

The previous prime is 124086104681291. The next prime is 124086104681393. The reversal of 124086104681328 is 823186401680421.

124086104681328 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 8 + 610 + 4 + 6 + 8 + 13 + 2 + 8 = 666.

124086104681328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124086104681328² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61451608 + ... + 63438728.

Almost surely, 2^{124086104681328} is an apocalyptic number.

124086104681328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

124086104681328 is an abundant number, since it is smaller than the sum of its proper divisors (236067056134848).

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

124086104681328 is a wasteful number, since it uses less digits than its factorization.

124086104681328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003205 (or 2003187 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 124086104681328 in words is "one hundred twenty-four trillion, eighty-six billion, one hundred four million, six hundred eighty-one thousand, three hundred twenty-eight".