12021436642320 has 640 divisors, whose sum is σ = 48899727360000. Its totient is φ = 2712962004480.

The previous prime is 12021436642223. The next prime is 12021436642333. The reversal of 12021436642320 is 2324663412021.

12021436642320 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 4 + 3 + 6 + 642 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×12021436642320² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 58426825 + ... + 58632215.

It is an arithmetic number, because the mean of its divisors is an integer number (76405824000).

Almost surely, 2^{12021436642320} is an apocalyptic number.

12021436642320 is a gapful number since it is divisible by the number (10) 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 12021436642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449863680000).

12021436642320 is an abundant number, since it is smaller than the sum of its proper divisors (36878290717680).

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

12021436642320 is a wasteful number, since it uses less digits than its factorization.

12021436642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205513 (or 205487 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12021436642320 in words is "twelve trillion, twenty-one billion, four hundred thirty-six million, six hundred forty-two thousand, three hundred twenty".