12162274225920 has 2304 divisors, whose sum is σ = 54640535040000. Its totient is φ = 2560611336192.

The previous prime is 12162274225879. The next prime is 12162274225967. The reversal of 12162274225920 is 2952247226121.

12162274225920 is a `hidden beast` number, since 1 + 2 + 16 + 2 + 2 + 7 + 42 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26043413527 + ... + 26043413993.

It is an arithmetic number, because the mean of its divisors is an integer number (23715510000).

Almost surely, 2^{12162274225920} is an apocalyptic number.

12162274225920 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 12162274225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320267520000).

12162274225920 is an abundant number, since it is smaller than the sum of its proper divisors (42478260814080).

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

12162274225920 is an frugal number, since it uses more digits than its factorization.

12162274225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12162274225920 in words is "twelve trillion, one hundred sixty-two billion, two hundred seventy-four million, two hundred twenty-five thousand, nine hundred twenty".