124112494080 has 320 divisors, whose sum is σ = 443704726080. Its totient is φ = 32882982912.

The previous prime is 124112494073. The next prime is 124112494081. The reversal of 124112494080 is 80494211421.

124112494080 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 1 + 249 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×124112494080² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (124112494081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10846122 + ... + 10857558.

It is an arithmetic number, because the mean of its divisors is an integer number (1386577269).

Almost surely, 2^124112494080 is an apocalyptic number.

124112494080 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 124112494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221852363040).

124112494080 is an abundant number, since it is smaller than the sum of its proper divisors (319592232000).

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

124112494080 is a wasteful number, since it uses less digits than its factorization.

124112494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 124112494080 in words is "one hundred twenty-four billion, one hundred twelve million, four hundred ninety-four thousand, eighty".