22102010311200 has 576 divisors, whose sum is σ = 76960025493120. Its totient is φ = 5490043453440.

The previous prime is 22102010311177. The next prime is 22102010311207. The reversal of 22102010311200 is 211301020122.

It is a super-2 number, since 2×22102010311200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22102010311200.

It is not an unprimeable number, because it can be changed into a prime (22102010311207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4860787327 + ... + 4860791873.

It is an arithmetic number, because the mean of its divisors is an integer number (133611155370).

Almost surely, 2^{22102010311200} is an apocalyptic number.

22102010311200 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 22102010311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38480012746560).

22102010311200 is an abundant number, since it is smaller than the sum of its proper divisors (54858015181920).

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

22102010311200 is a wasteful number, since it uses less digits than its factorization.

22102010311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22102010311200 its reverse (211301020122), we get a palindrome (22313311331322).

The spelling of 22102010311200 in words is "twenty-two trillion, one hundred two billion, ten million, three hundred eleven thousand, two hundred".