22102200120312 has 320 divisors, whose sum is σ = 67361574588000. Its totient is φ = 6730147408896.

The previous prime is 22102200120311. The next prime is 22102200120359. The reversal of 22102200120312 is 21302100220122.

22102200120312 is a `hidden beast` number, since 2 + 2 + 10 + 220 + 0 + 120 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102200120311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 783224139 + ... + 783252357.

Almost surely, 2^{22102200120312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102200120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33680787294000).

22102200120312 is an abundant number, since it is smaller than the sum of its proper divisors (45259374467688).

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

22102200120312 is a wasteful number, since it uses less digits than its factorization.

22102200120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29212 (or 29199 counting only the distinct ones).

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

Adding to 22102200120312 its reverse (21302100220122), we get a palindrome (43404300340434).

The spelling of 22102200120312 in words is "twenty-two trillion, one hundred two billion, two hundred million, one hundred twenty thousand, three hundred twelve".