12220000312032 has 72 divisors (see below), whose sum is σ = 34751821464360. Its totient is φ = 4073193296640.

The previous prime is 12220000312027. The next prime is 12220000312061. The reversal of 12220000312032 is 23021300002221.

12220000312032 is a `hidden beast` number, since 122 + 200 + 0 + 0 + 312 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 12220000311996 and 12220000312014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7829607 + ... + 9259737.

It is an arithmetic number, because the mean of its divisors is an integer number (482664187005).

Almost surely, 2^{12220000312032} is an apocalyptic number.

12220000312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220000312032 is an abundant number, since it is smaller than the sum of its proper divisors (22531821152328).

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

12220000312032 is a wasteful number, since it uses less digits than its factorization.

12220000312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459816 (or 1459805 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220000312032 its reverse (23021300002221), we get a palindrome (35241300314253).

The spelling of 12220000312032 in words is "twelve trillion, two hundred twenty billion, three hundred twelve thousand, thirty-two".