12220092864 has 784 divisors, whose sum is σ = 46054158336. Its totient is φ = 3135283200.

The previous prime is 12220092853. The next prime is 12220092887. The reversal of 12220092864 is 46829002221.

12220092864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 172113949 + ... + 172114019.

Almost surely, 2^12220092864 is an apocalyptic number.

12220092864 is a gapful number since it is divisible by the number (14) 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 12220092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027079168).

12220092864 is an abundant number, since it is smaller than the sum of its proper divisors (33834065472).

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

12220092864 is an equidigital number, since it uses as much as digits as its factorization.

12220092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12220092864 in words is "twelve billion, two hundred twenty million, ninety-two thousand, eight hundred sixty-four".