123226413004800 has 3240 divisors, whose sum is σ = 549467680802040. Its totient is φ = 27214258176000.

The previous prime is 123226413004757. The next prime is 123226413004843. The reversal of 123226413004800 is 8400314622321.

123226413004800 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 641 + 3 + 0 + 0 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123226413004757) and next prime (123226413004843).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 195287500485 + ... + 195287501115.

It is an arithmetic number, because the mean of its divisors is an integer number (169588790371).

Almost surely, 2^{123226413004800} is an apocalyptic number.

123226413004800 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 123226413004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274733840401020).

123226413004800 is an abundant number, since it is smaller than the sum of its proper divisors (426241267797240).

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

123226413004800 is an equidigital number, since it uses as much as digits as its factorization.

123226413004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 123226413004800 in words is "one hundred twenty-three trillion, two hundred twenty-six billion, four hundred thirteen million, four thousand, eight hundred".