123331132122000 has 640 divisors, whose sum is σ = 441472915353600. Its totient is φ = 29369793024000.

The previous prime is 123331132121983. The next prime is 123331132122013. The reversal of 123331132122000 is 221231133321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1587459156 + ... + 1587536844.

It is an arithmetic number, because the mean of its divisors is an integer number (689801430240).

Almost surely, 2^{123331132122000} is an apocalyptic number.

123331132122000 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 123331132122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220736457676800).

123331132122000 is an abundant number, since it is smaller than the sum of its proper divisors (318141783231600).

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

123331132122000 is a wasteful number, since it uses less digits than its factorization.

123331132122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78152 (or 78136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 123331132122000 its reverse (221231133321), we get a palindrome (123552363255321).

It can be divided in two parts, 1233311321 and 22000, that added together give a palindrome (1233333321).

The spelling of 123331132122000 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred twenty-two thousand".