12890213292 has 192 divisors, whose sum is σ = 34805772288. Its totient is φ = 3677184000.

The previous prime is 12890213257. The next prime is 12890213293. The reversal of 12890213292 is 29231209821.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12890213292.

It is not an unprimeable number, because it can be changed into a prime (12890213293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28205928 + ... + 28206384.

It is an arithmetic number, because the mean of its divisors is an integer number (181280064).

Almost surely, 2^12890213292 is an apocalyptic number.

12890213292 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 12890213292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402886144).

12890213292 is an abundant number, since it is smaller than the sum of its proper divisors (21915558996).

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

12890213292 is a wasteful number, since it uses less digits than its factorization.

12890213292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 12890213292 in words is "twelve billion, eight hundred ninety million, two hundred thirteen thousand, two hundred ninety-two".