123333234041100 has 144 divisors (see below), whose sum is σ = 360211882526496. Its totient is φ = 32579887104000.

The previous prime is 123333234041093. The next prime is 123333234041131. The reversal of 123333234041100 is 1140432333321.

It is a super-2 number, since 2×123333234041100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 9536170 + ... + 18374030.

It is an arithmetic number, because the mean of its divisors is an integer number (2501471406434).

Almost surely, 2^{123333234041100} is an apocalyptic number.

123333234041100 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 123333234041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180105941263248).

123333234041100 is an abundant number, since it is smaller than the sum of its proper divisors (236878648485396).

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

123333234041100 is a wasteful number, since it uses less digits than its factorization.

123333234041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838316 (or 8838309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 123333234041100 its reverse (1140432333321), we get a palindrome (124473666374421).

The spelling of 123333234041100 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, two hundred thirty-four million, forty-one thousand, one hundred".