20222213302200 has 384 divisors, whose sum is σ = 78022456243200. Its totient is φ = 4218723717120.

The previous prime is 20222213302147. The next prime is 20222213302399. The reversal of 20222213302200 is 220331222202.

It is a super-3 number, since 3×20222213302200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2778669 + ... + 6940131.

It is an arithmetic number, because the mean of its divisors is an integer number (203183479800).

Almost surely, 2^{20222213302200} is an apocalyptic number.

20222213302200 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 20222213302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39011228121600).

20222213302200 is an abundant number, since it is smaller than the sum of its proper divisors (57800242941000).

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

20222213302200 is a wasteful number, since it uses less digits than its factorization.

20222213302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161591 (or 4161582 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20222213302200 its reverse (220331222202), we get a palindrome (20442544524402).

The spelling of 20222213302200 in words is "twenty trillion, two hundred twenty-two billion, two hundred thirteen million, three hundred two thousand, two hundred".