123032013233000 has 128 divisors (see below), whose sum is σ = 304940748172320. Its totient is φ = 46301092249600.

The previous prime is 123032013232993. The next prime is 123032013233137. The reversal of 123032013233000 is 332310230321.

It can be written as a sum of positive squares in 16 ways, for example, as 765166568644 + 122266846664356 = 874738^2 + 11057434^2 .

It is a super-2 number, since 2×123032013233000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45486584 + ... + 48115416.

Almost surely, 2^{123032013233000} is an apocalyptic number.

123032013233000 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 123032013233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152470374086160).

123032013233000 is an abundant number, since it is smaller than the sum of its proper divisors (181908734939320).

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

123032013233000 is a wasteful number, since it uses less digits than its factorization.

123032013233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631624 (or 2631610 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 123032013233000 its reverse (332310230321), we get a palindrome (123364323463321).

The spelling of 123032013233000 in words is "one hundred twenty-three trillion, thirty-two billion, thirteen million, two hundred thirty-three thousand".