123013221003200 has 336 divisors, whose sum is σ = 351027462983040. Its totient is φ = 41958167040000.

The previous prime is 123013221003107. The next prime is 123013221003307. The reversal of 123013221003200 is 2300122310321.

It is a super-2 number, since 2×123013221003200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 31953299 + ... + 35595501.

Almost surely, 2^{123013221003200} is an apocalyptic number.

123013221003200 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 123013221003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175513731491520).

123013221003200 is an abundant number, since it is smaller than the sum of its proper divisors (228014241979840).

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

123013221003200 is a wasteful number, since it uses less digits than its factorization.

123013221003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642356 (or 3642341 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123013221003200 its reverse (2300122310321), we get a palindrome (125313343313521).

The spelling of 123013221003200 in words is "one hundred twenty-three trillion, thirteen billion, two hundred twenty-one million, three thousand, two hundred".