12370135744512 has 684 divisors, whose sum is σ = 44773463878416. Its totient is φ = 3262057021440.

The previous prime is 12370135744487. The next prime is 12370135744531. The reversal of 12370135744512 is 21544753107321.

12370135744512 is a `hidden beast` number, since 1 + 2 + 3 + 70 + 1 + 3 + 574 + 4 + 5 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1502867437 + ... + 1502875667.

It is an arithmetic number, because the mean of its divisors is an integer number (65458280524).

Almost surely, 2^{12370135744512} is an apocalyptic number.

12370135744512 is a gapful number since it is divisible by the number (12) 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 12370135744512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386731939208).

12370135744512 is an abundant number, since it is smaller than the sum of its proper divisors (32403328133904).

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

12370135744512 is an frugal number, since it uses more digits than its factorization.

12370135744512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12370135744512 in words is "twelve trillion, three hundred seventy billion, one hundred thirty-five million, seven hundred forty-four thousand, five hundred twelve".