123212022133100 has 144 divisors (see below), whose sum is σ = 270490377612000. Its totient is φ = 48711065886720.

The previous prime is 123212022133051. The next prime is 123212022133129. The reversal of 123212022133100 is 1331220212321.

It is a super-2 number, since 2×123212022133100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33821579879 + ... + 33821583521.

Almost surely, 2^{123212022133100} is an apocalyptic number.

123212022133100 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 123212022133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135245188806000).

123212022133100 is an abundant number, since it is smaller than the sum of its proper divisors (147278355478900).

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

123212022133100 is a wasteful number, since it uses less digits than its factorization.

123212022133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123212022133100 its reverse (1331220212321), we get a palindrome (124543242345421).

The spelling of 123212022133100 in words is "one hundred twenty-three trillion, two hundred twelve billion, twenty-two million, one hundred thirty-three thousand, one hundred".