12167622956944 has 375 divisors, whose sum is σ = 30607792304133. Its totient is φ = 4683468771072.

The previous prime is 12167622956941. The next prime is 12167622957013. The reversal of 12167622956944 is 44965922676121.

The square root of 12167622956944 is 3488212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 839605690000 + 11328017266944 = 916300^2 + 3365712^2 .

It is a Duffinian number.

Its product of digits (78382080) is a multiple of the sum of its prime factors (210).

It is not an unprimeable number, because it can be changed into a prime (12167622956941) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 328854674494 + ... + 328854674530.

Almost surely, 2^{12167622956944} is an apocalyptic number.

12167622956944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12167622956944 is the 3488212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167622956944

12167622956944 is an abundant number, since it is smaller than the sum of its proper divisors (18440169347189).

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

12167622956944 is an frugal number, since it uses more digits than its factorization.

12167622956944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 59 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 64.

Multiplying 12167622956944 by its sum of digits (64), we get a square (778727869244416 = 27905696²).

The spelling of 12167622956944 in words is "twelve trillion, one hundred sixty-seven billion, six hundred twenty-two million, nine hundred fifty-six thousand, nine hundred forty-four".