12290091264 has 216 divisors, whose sum is σ = 38837635200. Its totient is φ = 3706859520.

The previous prime is 12290091259. The next prime is 12290091269. The reversal of 12290091264 is 46219009221.

It is an interprime number because it is at equal distance from previous prime (12290091259) and next prime (12290091269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12290091269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6056202 + ... + 6058230.

Almost surely, 2^12290091264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12290091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418817600).

12290091264 is an abundant number, since it is smaller than the sum of its proper divisors (26547543936).

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

12290091264 is a wasteful number, since it uses less digits than its factorization.

12290091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12290091264 in words is "twelve billion, two hundred ninety million, ninety-one thousand, two hundred sixty-four".