12274343991600 has 480 divisors, whose sum is σ = 43135546559040. Its totient is φ = 2970813726720.

The previous prime is 12274343991593. The next prime is 12274343991607. The reversal of 12274343991600 is 619934347221.

It is an interprime number because it is at equal distance from previous prime (12274343991593) and next prime (12274343991607).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12274343991607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85220446 + ... + 85364354.

It is an arithmetic number, because the mean of its divisors is an integer number (89865721998).

Almost surely, 2^{12274343991600} is an apocalyptic number.

12274343991600 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 12274343991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21567773279520).

12274343991600 is an abundant number, since it is smaller than the sum of its proper divisors (30861202567440).

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

12274343991600 is a wasteful number, since it uses less digits than its factorization.

12274343991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144097 (or 144086 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 12274343991600 in words is "twelve trillion, two hundred seventy-four billion, three hundred forty-three million, nine hundred ninety-one thousand, six hundred".