20221220101200 has 60 divisors (see below), whose sum is σ = 64775308394688. Its totient is φ = 5392325360000.

The previous prime is 20221220101183. The next prime is 20221220101217. The reversal of 20221220101200 is 210102212202.

It is an interprime number because it is at equal distance from previous prime (20221220101183) and next prime (20221220101217).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20221220101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8425507176 + ... + 8425509575.

Almost surely, 2^{20221220101200} is an apocalyptic number.

20221220101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221220101200 is an abundant number, since it is smaller than the sum of its proper divisors (44554088293488).

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

20221220101200 is a wasteful number, since it uses less digits than its factorization.

20221220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851016772 (or 16851016761 counting only the distinct ones).

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

Adding to 20221220101200 its reverse (210102212202), we get a palindrome (20431322313402).

The spelling of 20221220101200 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty million, one hundred one thousand, two hundred".