22312303002000 has 480 divisors, whose sum is σ = 85337377272576. Its totient is φ = 5388463872000.

The previous prime is 22312303001999. The next prime is 22312303002037. The reversal of 22312303002000 is 20030321322.

It is a happy number.

22312303002000 is a `hidden beast` number, since 2 + 2 + 312 + 30 + 300 + 20 + 0 + 0 = 666.

It is a super-3 number, since 3×22312303002000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 51859764 + ... + 52288236.

Almost surely, 2^{22312303002000} is an apocalyptic number.

22312303002000 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 22312303002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42668688636288).

22312303002000 is an abundant number, since it is smaller than the sum of its proper divisors (63025074270576).

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

22312303002000 is a wasteful number, since it uses less digits than its factorization.

22312303002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428776 (or 428757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22312303002000 its reverse (20030321322), we get a palindrome (22332333323322).

The spelling of 22312303002000 in words is "twenty-two trillion, three hundred twelve billion, three hundred three million, two thousand".