123112212031100 has 144 divisors (see below), whose sum is σ = 284284060072320. Its totient is φ = 46146085689600.

The previous prime is 123112212031027. The next prime is 123112212031121. The reversal of 123112212031100 is 1130212211321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75606722 + ... + 77217878.

Almost surely, 2^{123112212031100} is an apocalyptic number.

123112212031100 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 123112212031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142142030036160).

123112212031100 is an abundant number, since it is smaller than the sum of its proper divisors (161171848041220).

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

123112212031100 is a wasteful number, since it uses less digits than its factorization.

123112212031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611628 (or 1611621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 123112212031100 its reverse (1130212211321), we get a palindrome (124242424242421).

The spelling of 123112212031100 in words is "one hundred twenty-three trillion, one hundred twelve billion, two hundred twelve million, thirty-one thousand, one hundred".