123114844913040 has 480 divisors, whose sum is σ = 438663972146400. Its totient is φ = 30889130065920.

The previous prime is 123114844913029. The next prime is 123114844913149. The reversal of 123114844913040 is 40319448411321.

123114844913040 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 14 + 84 + 491 + 30 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 25046861939856 + 98067982973184 = 5004684^2 + 9902928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733576656 + ... + 733744464.

It is an arithmetic number, because the mean of its divisors is an integer number (913883275305).

Almost surely, 2^{123114844913040} is an apocalyptic number.

123114844913040 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 123114844913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219331986073200).

123114844913040 is an abundant number, since it is smaller than the sum of its proper divisors (315549127233360).

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

123114844913040 is a wasteful number, since it uses less digits than its factorization.

123114844913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168755 (or 168746 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 123114844913040 in words is "one hundred twenty-three trillion, one hundred fourteen billion, eight hundred forty-four million, nine hundred thirteen thousand, forty".