22200221200000 has 192 divisors, whose sum is σ = 55295063623800. Its totient is φ = 8877703680000.

The previous prime is 22200221199983. The next prime is 22200221200009. The reversal of 22200221200000 is 212200222.

It can be written as a sum of positive squares in 12 ways, for example, as 3163474875456 + 19036746324544 = 1778616^2 + 4363112^2 .

It is not an unprimeable number, because it can be changed into a prime (22200221200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2894796166 + ... + 2894803834.

Almost surely, 2^{22200221200000} is an apocalyptic number.

22200221200000 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 22200221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27647531811900).

22200221200000 is an abundant number, since it is smaller than the sum of its proper divisors (33094842423800).

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

22200221200000 is an frugal number, since it uses more digits than its factorization.

22200221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945 (or 14913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22200221200000 its reverse (212200222), we get a palindrome (22200433400222).

The spelling of 22200221200000 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred thousand".