12022313301000 has 160 divisors (see below), whose sum is σ = 42024664333080. Its totient is φ = 3205950192000.

The previous prime is 12022313300999. The next prime is 12022313301001. The reversal of 12022313301000 is 10331322021.

12022313301000 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 231 + 330 + 100 + 0 = 666.

12022313301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12022313300999) and next prime (12022313301001).

It can be written as a sum of positive squares in 4 ways, for example, as 7600486582404 + 4421826718596 = 2756898^2 + 2102814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12022313301001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74130811 + ... + 74292810.

Almost surely, 2^{12022313301000} is an apocalyptic number.

12022313301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022313301000 is an abundant number, since it is smaller than the sum of its proper divisors (30002351032080).

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

12022313301000 is a wasteful number, since it uses less digits than its factorization.

12022313301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148423654 (or 148423631 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12022313301000 its reverse (10331322021), we get a palindrome (12032644623021).

The spelling of 12022313301000 in words is "twelve trillion, twenty-two billion, three hundred thirteen million, three hundred one thousand".