202202112202000 has 40 divisors (see below), whose sum is σ = 488924707309272. Its totient is φ = 80880844880000.

The previous prime is 202202112201997. The next prime is 202202112202001. The reversal of 202202112202000 is 202211202202.

It can be written as a sum of positive squares in 4 ways, for example, as 5181924115456 + 197020188086544 = 2276384^2 + 14036388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202202112202001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50550526051 + ... + 50550530050.

Almost surely, 2^{202202112202000} is an apocalyptic number.

202202112202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202112202000 is an abundant number, since it is smaller than the sum of its proper divisors (286722595107272).

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

202202112202000 is a wasteful number, since it uses less digits than its factorization.

202202112202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101101056124 (or 101101056108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202202112202000 its reverse (202211202202), we get a palindrome (202404323404202).

The spelling of 202202112202000 in words is "two hundred two trillion, two hundred two billion, one hundred twelve million, two hundred two thousand".