12021268644 has 240 divisors, whose sum is σ = 39849384960. Its totient is φ = 3069109440.

The previous prime is 12021268583. The next prime is 12021268657. The reversal of 12021268644 is 44686212021.

12021268644 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 2 + 6 + 8 + 644 = 666.

It is a super-2 number, since 2×12021268644² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021268599 and 12021268608.

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 79 ways as a sum of consecutive naturals, for example, 1467849 + ... + 1476015.

It is an arithmetic number, because the mean of its divisors is an integer number (166039104).

Almost surely, 2^12021268644 is an apocalyptic number.

12021268644 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 12021268644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19924692480).

12021268644 is an abundant number, since it is smaller than the sum of its proper divisors (27828116316).

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

12021268644 is a wasteful number, since it uses less digits than its factorization.

12021268644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12021268644 in words is "twelve billion, twenty-one million, two hundred sixty-eight thousand, six hundred forty-four".