12011919283920 has 80 divisors (see below), whose sum is σ = 37237302106560. Its totient is φ = 3203148168192.

The previous prime is 12011919283907. The next prime is 12011919284003. The reversal of 12011919283920 is 2938291911021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12011919283920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38057316 + ... + 38371644.

It is an arithmetic number, because the mean of its divisors is an integer number (465466276332).

Almost surely, 2^{12011919283920} is an apocalyptic number.

12011919283920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011919283920 is an abundant number, since it is smaller than the sum of its proper divisors (25225382822640).

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

12011919283920 is a wasteful number, since it uses less digits than its factorization.

12011919283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473572 (or 473566 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 12011919283920 in words is "twelve trillion, eleven billion, nine hundred nineteen million, two hundred eighty-three thousand, nine hundred twenty".