12041664120 has 240 divisors, whose sum is σ = 40993139880. Its totient is φ = 3170275200.

The previous prime is 12041664101. The next prime is 12041664127. The reversal of 12041664120 is 2146614021.

12041664120 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 16 + 641 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041664127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73875159 + ... + 73875321.

Almost surely, 2^12041664120 is an apocalyptic number.

12041664120 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 12041664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20496569940).

12041664120 is an abundant number, since it is smaller than the sum of its proper divisors (28951475760).

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

12041664120 is a wasteful number, since it uses less digits than its factorization.

12041664120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12041664120 in words is "twelve billion, forty-one million, six hundred sixty-four thousand, one hundred twenty".