12142912830336 has 384 divisors, whose sum is σ = 35478588600000. Its totient is φ = 3986169200640.

The previous prime is 12142912830329. The next prime is 12142912830337. The reversal of 12142912830336 is 63303821924121.

It is a happy number.

12142912830336 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 291 + 28 + 3 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12142912830291 and 12142912830300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142912830337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14790392806 + ... + 14790393626.

Almost surely, 2^{12142912830336} is an apocalyptic number.

12142912830336 is a gapful number since it is divisible by the number (16) 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 12142912830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739294300000).

12142912830336 is an abundant number, since it is smaller than the sum of its proper divisors (23335675769664).

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

12142912830336 is a wasteful number, since it uses less digits than its factorization.

12142912830336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12142912830336 in words is "twelve trillion, one hundred forty-two billion, nine hundred twelve million, eight hundred thirty thousand, three hundred thirty-six".