12912227328000 has 5376 divisors, whose sum is σ = 64655108444160. Its totient is φ = 2208301056000.

The previous prime is 12912227327977. The next prime is 12912227328023. The reversal of 12912227328000 is 82372221921.

It is an interprime number because it is at equal distance from previous prime (12912227327977) and next prime (12912227328023).

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×12912227328000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12912227328000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 679590911991 + ... + 679590912009.

Almost surely, 2^{12912227328000} is an apocalyptic number.

12912227328000 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 12912227328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32327554222080).

12912227328000 is an abundant number, since it is smaller than the sum of its proper divisors (51742881116160).

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

12912227328000 is a wasteful number, since it uses less digits than its factorization.

12912227328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 12912227328000 its reverse (82372221921), we get a palindrome (12994599549921).

The spelling of 12912227328000 in words is "twelve trillion, nine hundred twelve billion, two hundred twenty-seven million, three hundred twenty-eight thousand".