124398306144 has 192 divisors, whose sum is σ = 418538534400. Its totient is φ = 35210018304.

The previous prime is 124398306139. The next prime is 124398306169. The reversal of 124398306144 is 441603893421.

124398306144 is a `hidden beast` number, since 1 + 24 + 3 + 9 + 8 + 3 + 0 + 614 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 124398306144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551022 + ... + 743250.

It is an arithmetic number, because the mean of its divisors is an integer number (2179888200).

Almost surely, 2^124398306144 is an apocalyptic number.

124398306144 is a gapful number since it is divisible by the number (14) 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 124398306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209269267200).

124398306144 is an abundant number, since it is smaller than the sum of its proper divisors (294140228256).

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

124398306144 is a wasteful number, since it uses less digits than its factorization.

124398306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192362 (or 192348 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 124398306144 in words is "one hundred twenty-four billion, three hundred ninety-eight million, three hundred six thousand, one hundred forty-four".