22012323102000 has 1280 divisors, whose sum is σ = 99325602754560. Its totient is φ = 4526751744000.

The previous prime is 22012323101891. The next prime is 22012323102001. The reversal of 22012323102000 is 20132321022.

22012323102000 is a `hidden beast` number, since 2 + 201 + 232 + 31 + 0 + 200 + 0 = 666.

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 (22012323102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 403298712 + ... + 403353288.

It is an arithmetic number, because the mean of its divisors is an integer number (77598127152).

Almost surely, 2^{22012323102000} is an apocalyptic number.

22012323102000 is a gapful number since it is divisible by the number (20) 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 22012323102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49662801377280).

22012323102000 is an abundant number, since it is smaller than the sum of its proper divisors (77313279652560).

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

22012323102000 is a wasteful number, since it uses less digits than its factorization.

22012323102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54724 (or 54702 counting only the distinct ones).

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

Adding to 22012323102000 its reverse (20132321022), we get a palindrome (22032455423022).

The spelling of 22012323102000 in words is "twenty-two trillion, twelve billion, three hundred twenty-three million, one hundred two thousand".