12227675397120 has 1232 divisors, whose sum is σ = 47026245009888. Its totient is φ = 3038537318400.

The previous prime is 12227675397109. The next prime is 12227675397127. The reversal of 12227675397120 is 2179357672221.

12227675397120 is a `hidden beast` number, since 1 + 2 + 2 + 27 + 67 + 539 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227675397127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6789380220 + ... + 6789382020.

Almost surely, 2^{12227675397120} is an apocalyptic number.

12227675397120 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 12227675397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513122504944).

12227675397120 is an abundant number, since it is smaller than the sum of its proper divisors (34798569612768).

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

12227675397120 is a wasteful number, since it uses less digits than its factorization.

12227675397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 12227675397120 in words is "twelve trillion, two hundred twenty-seven billion, six hundred seventy-five million, three hundred ninety-seven thousand, one hundred twenty".