123200814709440 has 4032 divisors, whose sum is σ = 523634792728320. Its totient is φ = 26360744509440.

The previous prime is 123200814709429. The next prime is 123200814709451. The reversal of 123200814709440 is 44907418002321.

123200814709440 is a `hidden beast` number, since 12 + 3 + 2 + 0 + 0 + 81 + 470 + 94 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123200814709429) and next prime (123200814709451).

It is a super-2 number, since 2×123200814709440² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1384278816916 + ... + 1384278817004.

It is an arithmetic number, because the mean of its divisors is an integer number (129869740260).

Almost surely, 2^{123200814709440} is an apocalyptic number.

123200814709440 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 123200814709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817396364160).

123200814709440 is an abundant number, since it is smaller than the sum of its proper divisors (400433978018880).

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

123200814709440 is a wasteful number, since it uses less digits than its factorization.

123200814709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 123200814709440 in words is "one hundred twenty-three trillion, two hundred billion, eight hundred fourteen million, seven hundred nine thousand, four hundred forty".