221122211022000 has 240 divisors, whose sum is σ = 779952777907680. Its totient is φ = 58382101440000.

The previous prime is 221122211021977. The next prime is 221122211022071. The reversal of 221122211022000 is 220112221122.

It is a happy number.

221122211022000 is a `hidden beast` number, since 2 + 211 + 2 + 221 + 10 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58996690 + ... + 62632689.

It is an arithmetic number, because the mean of its divisors is an integer number (3249803241282).

Almost surely, 2^{221122211022000} is an apocalyptic number.

221122211022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122211022000 is an abundant number, since it is smaller than the sum of its proper divisors (558830566885680).

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

221122211022000 is a wasteful number, since it uses less digits than its factorization.

221122211022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121629509 (or 121629490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221122211022000 its reverse (220112221122), we get a palindrome (221342323243122).

The spelling of 221122211022000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand".