12122076288 has 192 divisors, whose sum is σ = 37663557120. Its totient is φ = 3444295680.

The previous prime is 12122076251. The next prime is 12122076319. The reversal of 12122076288 is 88267022121.

It is a tau number, because it is divible by the number of its divisors (192).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3592170 + ... + 3595542.

It is an arithmetic number, because the mean of its divisors is an integer number (196164360).

Almost surely, 2^12122076288 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 12122076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831778560).

12122076288 is an abundant number, since it is smaller than the sum of its proper divisors (25541480832).

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

12122076288 is a wasteful number, since it uses less digits than its factorization.

12122076288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 12122076288 in words is "twelve billion, one hundred twenty-two million, seventy-six thousand, two hundred eighty-eight".