202210221012000 has 192 divisors, whose sum is σ = 662772480499584. Its totient is φ = 53895717350400.

The previous prime is 202210221011971. The next prime is 202210221012011. The reversal of 202210221012000 is 210122012202.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 19744959 + ... + 28183041.

It is an arithmetic number, because the mean of its divisors is an integer number (3451940002602).

Almost surely, 2^{202210221012000} is an apocalyptic number.

202210221012000 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 202210221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331386240249792).

202210221012000 is an abundant number, since it is smaller than the sum of its proper divisors (460562259487584).

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

202210221012000 is a wasteful number, since it uses less digits than its factorization.

202210221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440108 (or 8440090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202210221012000 its reverse (210122012202), we get a palindrome (202420343024202).

The spelling of 202210221012000 in words is "two hundred two trillion, two hundred ten billion, two hundred twenty-one million, twelve thousand".