12337874341100 has 432 divisors, whose sum is σ = 34599731662944. Its totient is φ = 3775177728000.

The previous prime is 12337874341061. The next prime is 12337874341123. The reversal of 12337874341100 is 114347873321.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1831356932 + ... + 1831363668.

It is an arithmetic number, because the mean of its divisors is an integer number (80091971442).

Almost surely, 2^{12337874341100} is an apocalyptic number.

12337874341100 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 12337874341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299865831472).

12337874341100 is an abundant number, since it is smaller than the sum of its proper divisors (22261857321844).

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

12337874341100 is a wasteful number, since it uses less digits than its factorization.

12337874341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 12337874341100 in words is "twelve trillion, three hundred thirty-seven billion, eight hundred seventy-four million, three hundred forty-one thousand, one hundred".