12312220122000 has 240 divisors, whose sum is σ = 44164712412912. Its totient is φ = 3194521804800.

The previous prime is 12312220121983. The next prime is 12312220122017. The reversal of 12312220122000 is 22102221321.

12312220122000 is a `hidden beast` number, since 1 + 231 + 2 + 220 + 12 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12312220121983) and next prime (12312220122017).

It can be written as a sum of positive squares in 8 ways, for example, as 1786296402576 + 10525923719424 = 1336524^2 + 3244368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8577409 + ... + 9909408.

Almost surely, 2^{12312220122000} is an apocalyptic number.

12312220122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312220122000 is an abundant number, since it is smaller than the sum of its proper divisors (31852492290912).

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

12312220122000 is a wasteful number, since it uses less digits than its factorization.

12312220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18486883 (or 18486864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12312220122000 its reverse (22102221321), we get a palindrome (12334322343321).

The spelling of 12312220122000 in words is "twelve trillion, three hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand".