123440044212100 has 288 divisors, whose sum is σ = 357579355956480. Its totient is φ = 35804719104000.

The previous prime is 123440044211909. The next prime is 123440044212127. The reversal of 123440044212100 is 1212440044321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6352290 + ... + 16947910.

It is an arithmetic number, because the mean of its divisors is an integer number (1241594985960).

Almost surely, 2^{123440044212100} is an apocalyptic number.

123440044212100 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 123440044212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178789677978240).

123440044212100 is an abundant number, since it is smaller than the sum of its proper divisors (234139311744380).

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

123440044212100 is a wasteful number, since it uses less digits than its factorization.

123440044212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10595759 (or 10595752 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 123440044212100 its reverse (1212440044321), we get a palindrome (124652484256421).

The spelling of 123440044212100 in words is "one hundred twenty-three trillion, four hundred forty billion, forty-four million, two hundred twelve thousand, one hundred".