222022012202000 has 80 divisors (see below), whose sum is σ = 537792724263600. Its totient is φ = 88652725683200.

The previous prime is 222022012201999. The next prime is 222022012202009. The reversal of 222022012202000 is 202210220222.

It can be written as a sum of positive squares in 8 ways, for example, as 83975303750416 + 138046708451584 = 9163804^2 + 11749328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 222022012202000.

It is not an unprimeable number, because it can be changed into a prime (222022012202009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96411215 + ... + 98687214.

It is an arithmetic number, because the mean of its divisors is an integer number (6722409053295).

Almost surely, 2^{222022012202000} is an apocalyptic number.

222022012202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222022012202000 is an abundant number, since it is smaller than the sum of its proper divisors (315770712061600).

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

222022012202000 is a wasteful number, since it uses less digits than its factorization.

222022012202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195099021 (or 195099005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 222022012202000 its reverse (202210220222), we get a palindrome (222224222422222).

The spelling of 222022012202000 in words is "two hundred twenty-two trillion, twenty-two billion, twelve million, two hundred two thousand".