202112002222200 has 288 divisors, whose sum is σ = 775835657625600. Its totient is φ = 46190445799680.

The previous prime is 202112002222121. The next prime is 202112002222243. The reversal of 202112002222200 is 2222200211202.

202112002222200 is a `hidden beast` number, since 2 + 0 + 21 + 1 + 200 + 222 + 220 + 0 = 666.

It is a super-2 number, since 2×202112002222200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87551989 + ... + 89830811.

It is an arithmetic number, because the mean of its divisors is an integer number (2693873811200).

Almost surely, 2^{202112002222200} is an apocalyptic number.

202112002222200 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 202112002222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387917828812800).

202112002222200 is an abundant number, since it is smaller than the sum of its proper divisors (573723655403400).

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

202112002222200 is a wasteful number, since it uses less digits than its factorization.

202112002222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285891 (or 2285879 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202112002222200 its reverse (2222200211202), we get a palindrome (204334202433402).

The spelling of 202112002222200 in words is "two hundred two trillion, one hundred twelve billion, two million, two hundred twenty-two thousand, two hundred".