12361314126700 has 576 divisors, whose sum is σ = 35776718143488. Its totient is φ = 3588854169600.

The previous prime is 12361314126673. The next prime is 12361314126713. The reversal of 12361314126700 is 762141316321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12361314126700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10190695294 + ... + 10190696506.

It is an arithmetic number, because the mean of its divisors is an integer number (62112357888).

Almost surely, 2^{12361314126700} is an apocalyptic number.

12361314126700 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 12361314126700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888359071744).

12361314126700 is an abundant number, since it is smaller than the sum of its proper divisors (23415404016788).

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

12361314126700 is a wasteful number, since it uses less digits than its factorization.

12361314126700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 12361314126700 in words is "twelve trillion, three hundred sixty-one billion, three hundred fourteen million, one hundred twenty-six thousand, seven hundred".