12162195360 has 480 divisors, whose sum is σ = 49704399360. Its totient is φ = 2743123968.

The previous prime is 12162195359. The next prime is 12162195361. The reversal of 12162195360 is 6359126121.

12162195360 is a `hidden beast` number, since 1 + 21 + 621 + 9 + 5 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12162195359) and next prime (12162195361).

It is a tau number, because it is divible by the number of its divisors (480).

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 (12162195361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7166032 + ... + 7167728.

It is an arithmetic number, because the mean of its divisors is an integer number (103550832).

Almost surely, 2^12162195360 is an apocalyptic number.

12162195360 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 12162195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24852199680).

12162195360 is an abundant number, since it is smaller than the sum of its proper divisors (37542204000).

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

12162195360 is a wasteful number, since it uses less digits than its factorization.

12162195360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12162195360 in words is "twelve billion, one hundred sixty-two million, one hundred ninety-five thousand, three hundred sixty".