12162661920 has 240 divisors, whose sum is σ = 43012747008. Its totient is φ = 3236682240.

The previous prime is 12162661913. The next prime is 12162661921. The reversal of 12162661920 is 2916626121.

12162661920 is a `hidden beast` number, since 1 + 2 + 1 + 626 + 6 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12162661921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12272625 + ... + 12273615.

Almost surely, 2^12162661920 is an apocalyptic number.

12162661920 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 12162661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506373504).

12162661920 is an abundant number, since it is smaller than the sum of its proper divisors (30850085088).

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

12162661920 is an equidigital number, since it uses as much as digits as its factorization.

12162661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12162661920 in words is "twelve billion, one hundred sixty-two million, six hundred sixty-one thousand, nine hundred twenty".