123502144389120 has 864 divisors, whose sum is σ = 490028968211328. Its totient is φ = 28187132166144.

The previous prime is 123502144389119. The next prime is 123502144389133. The reversal of 123502144389120 is 21983441205321.

123502144389120 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 0 + 2 + 1 + 443 + 89 + 120 = 666.

It is a super-2 number, since 2×123502144389120² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34144909552 + ... + 34144913168.

It is an arithmetic number, because the mean of its divisors is an integer number (567163157652).

Almost surely, 2^{123502144389120} is an apocalyptic number.

123502144389120 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 123502144389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245014484105664).

123502144389120 is an abundant number, since it is smaller than the sum of its proper divisors (366526823822208).

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

123502144389120 is an frugal number, since it uses more digits than its factorization.

123502144389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 123502144389120 in words is "one hundred twenty-three trillion, five hundred two billion, one hundred forty-four million, three hundred eighty-nine thousand, one hundred twenty".