124080812444160 has 1280 divisors, whose sum is σ = 524040779243520. Its totient is φ = 27431620116480.

The previous prime is 124080812443997. The next prime is 124080812444161. The reversal of 124080812444160 is 61444218080421.

It is a happy number.

124080812444160 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 80 + 8 + 124 + 441 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×124080812444160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (124080812444161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 820309657 + ... + 820460903.

It is an arithmetic number, because the mean of its divisors is an integer number (409406858784).

Almost surely, 2^{124080812444160} is an apocalyptic number.

124080812444160 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 124080812444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262020389621760).

124080812444160 is an abundant number, since it is smaller than the sum of its proper divisors (399959966799360).

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

124080812444160 is a wasteful number, since it uses less digits than its factorization.

124080812444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151386 (or 151364 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 124080812444160 in words is "one hundred twenty-four trillion, eighty billion, eight hundred twelve million, four hundred forty-four thousand, one hundred sixty".