12034272792690 has 192 divisors, whose sum is σ = 33450823692000. Its totient is φ = 2991113920512.

The previous prime is 12034272792683. The next prime is 12034272792691. The reversal of 12034272792690 is 9629727243021.

It is a happy number.

12034272792690 is a `hidden beast` number, since 1 + 2 + 0 + 342 + 7 + 279 + 26 + 9 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5341243298769 + 6693029493921 = 2311113^2 + 2587089^2 .

It is a super-2 number, since 2×12034272792690² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12034272792691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342361236 + ... + 342396384.

Almost surely, 2^{12034272792690} is an apocalyptic number.

12034272792690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034272792690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16725411846000).

12034272792690 is an abundant number, since it is smaller than the sum of its proper divisors (21416550899310).

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

12034272792690 is a wasteful number, since it uses less digits than its factorization.

12034272792690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37341 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 12034272792690 in words is "twelve trillion, thirty-four billion, two hundred seventy-two million, seven hundred ninety-two thousand, six hundred ninety".