123112221001100 has 72 divisors (see below), whose sum is σ = 268560667017216. Its totient is φ = 48985522600000.

The previous prime is 123112221001031. The next prime is 123112221001103. The reversal of 123112221001100 is 1100122211321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123112221001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755342615 + ... + 755505585.

It is an arithmetic number, because the mean of its divisors is an integer number (3730009264128).

Almost surely, 2^{123112221001100} is an apocalyptic number.

123112221001100 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 123112221001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134280333508608).

123112221001100 is an abundant number, since it is smaller than the sum of its proper divisors (145448446016116).

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

123112221001100 is a wasteful number, since it uses less digits than its factorization.

123112221001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202727 (or 202720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 123112221001100 its reverse (1100122211321), we get a palindrome (124212343212421).

The spelling of 123112221001100 in words is "one hundred twenty-three trillion, one hundred twelve billion, two hundred twenty-one million, one thousand, one hundred".