12022288416 has 144 divisors (see below), whose sum is σ = 36004288320. Its totient is φ = 3797798400.

The previous prime is 12022288409. The next prime is 12022288433. The reversal of 12022288416 is 61488222021.

12022288416 is a `hidden beast` number, since 12 + 0 + 2 + 228 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713691 + ... + 730341.

It is an arithmetic number, because the mean of its divisors is an integer number (250029780).

Almost surely, 2^12022288416 is an apocalyptic number.

12022288416 is a gapful number since it is divisible by the number (16) 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 12022288416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002144160).

12022288416 is an abundant number, since it is smaller than the sum of its proper divisors (23981999904).

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

12022288416 is a wasteful number, since it uses less digits than its factorization.

12022288416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16799 (or 16788 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12022288416 in words is "twelve billion, twenty-two million, two hundred eighty-eight thousand, four hundred sixteen".