202202002120000 has 280 divisors, whose sum is σ = 516596324191112. Its totient is φ = 78465024000000.

The previous prime is 202202002119959. The next prime is 202202002120123. The reversal of 202202002120000 is 21200202202.

It can be written as a sum of positive squares in 20 ways, for example, as 201051754449984 + 1150247670016 = 14179272^2 + 1072496^2 .

It is a super-2 number, since 2×202202002120000² (a number of 29 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 177552400 + ... + 178687600.

Almost surely, 2^{202202002120000} is an apocalyptic number.

202202002120000 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 202202002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258298162095556).

202202002120000 is an abundant number, since it is smaller than the sum of its proper divisors (314394322071112).

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

202202002120000 is an equidigital number, since it uses as much as digits as its factorization.

202202002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135367 (or 1135342 counting only the distinct ones).

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

Adding to 202202002120000 its reverse (21200202202), we get a palindrome (202223202322202).

The spelling of 202202002120000 in words is "two hundred two trillion, two hundred two billion, two million, one hundred twenty thousand".