221022222001200 has 360 divisors, whose sum is σ = 787899229407888. Its totient is φ = 57334602885120.

The previous prime is 221022222001187. The next prime is 221022222001213. The reversal of 221022222001200 is 2100222220122.

221022222001200 is a `hidden beast` number, since 2 + 21 + 0 + 222 + 220 + 0 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (221022222001187) and next prime (221022222001213).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×221022222001200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 662236767 + ... + 662570433.

Almost surely, 2^{221022222001200} is an apocalyptic number.

221022222001200 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 221022222001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393949614703944).

221022222001200 is an abundant number, since it is smaller than the sum of its proper divisors (566877007406688).

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

221022222001200 is a wasteful number, since it uses less digits than its factorization.

221022222001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338701 (or 338687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221022222001200 its reverse (2100222220122), we get a palindrome (223122444221322).

It can be divided in two parts, 221022 and 222001200, that added together give a palindrome (222222222).

The spelling of 221022222001200 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-two million, one thousand, two hundred".