12342442142100 has 144 divisors (see below), whose sum is σ = 41173513976448. Its totient is φ = 2796163829760.

The previous prime is 12342442142089. The next prime is 12342442142161. The reversal of 12342442142100 is 124124424321.

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

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, 25768689 + ... + 26243288.

It is an arithmetic number, because the mean of its divisors is an integer number (285927180392).

Almost surely, 2^{12342442142100} is an apocalyptic number.

12342442142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342442142100 is an abundant number, since it is smaller than the sum of its proper divisors (28831071834348).

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

12342442142100 is a wasteful number, since it uses less digits than its factorization.

12342442142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52012114 (or 52012107 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12342442142100 its reverse (124124424321), we get a palindrome (12466566566421).

The spelling of 12342442142100 in words is "twelve trillion, three hundred forty-two billion, four hundred forty-two million, one hundred forty-two thousand, one hundred".