123233210100000 has 3456 divisors, whose sum is σ = 604179399043584. Its totient is φ = 22992076800000.

The previous prime is 123233210099933. The next prime is 123233210100073. The reversal of 123233210100000 is 1012332321.

123233210100000 is a `hidden beast` number, since 1 + 232 + 332 + 1 + 0 + 100 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 33333298152 + ... + 33333301848.

It is an arithmetic number, because the mean of its divisors is an integer number (174820427964).

Almost surely, 2^{123233210100000} is an apocalyptic number.

123233210100000 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 123233210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302089699521792).

123233210100000 is an abundant number, since it is smaller than the sum of its proper divisors (480946188943584).

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

123233210100000 is a wasteful number, since it uses less digits than its factorization.

123233210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123233210100000 its reverse (1012332321), we get a palindrome (123234222432321).

The spelling of 123233210100000 in words is "one hundred twenty-three trillion, two hundred thirty-three billion, two hundred ten million, one hundred thousand".