12001091936064 has 672 divisors, whose sum is σ = 41340087398400. Its totient is φ = 3004085145600.

The previous prime is 12001091936027. The next prime is 12001091936089. The reversal of 12001091936064 is 46063919010021.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×12001091936064⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2919261369 + ... + 2919265479.

It is an arithmetic number, because the mean of its divisors is an integer number (61517987200).

Almost surely, 2^{12001091936064} is an apocalyptic number.

12001091936064 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 12001091936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670043699200).

12001091936064 is an abundant number, since it is smaller than the sum of its proper divisors (29338995462336).

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

12001091936064 is a wasteful number, since it uses less digits than its factorization.

12001091936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 12001091936064 in words is "twelve trillion, one billion, ninety-one million, nine hundred thirty-six thousand, sixty-four".