12001908305920 has 416 divisors, whose sum is σ = 31955240318400. Its totient is φ = 4298118266880.

The previous prime is 12001908305897. The next prime is 12001908305921. The reversal of 12001908305920 is 2950380910021.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×12001908305920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12001908305921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437955375 + ... + 3437958865.

Almost surely, 2^{12001908305920} is an apocalyptic number.

12001908305920 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 12001908305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977620159200).

12001908305920 is an abundant number, since it is smaller than the sum of its proper divisors (19953332012480).

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

12001908305920 is a wasteful number, since it uses less digits than its factorization.

12001908305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 12001908305920 in words is "twelve trillion, one billion, nine hundred eight million, three hundred five thousand, nine hundred twenty".