12765290924100 has 432 divisors, whose sum is σ = 43770723744384. Its totient is φ = 2853254553600.

The previous prime is 12765290924093. The next prime is 12765290924101. The reversal of 12765290924100 is 142909256721.

It is a happy number.

It is a super-3 number, since 3×12765290924100³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12765290924100.

It is not an unprimeable number, because it can be changed into a prime (12765290924101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418560052 + ... + 418590548.

Almost surely, 2^{12765290924100} is an apocalyptic number.

12765290924100 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 12765290924100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21885361872192).

12765290924100 is an abundant number, since it is smaller than the sum of its proper divisors (31005432820284).

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

12765290924100 is a wasteful number, since it uses less digits than its factorization.

12765290924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31436 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 12765290924100 in words is "twelve trillion, seven hundred sixty-five billion, two hundred ninety million, nine hundred twenty-four thousand, one hundred".