221111001222000 has 320 divisors, whose sum is σ = 734202683270784. Its totient is φ = 57206801203200.

The previous prime is 221111001221989. The next prime is 221111001222017. The reversal of 221111001222000 is 222100111122.

It is a super-3 number, since 3×221111001222000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 76955242 + ... + 79776758.

Almost surely, 2^{221111001222000} is an apocalyptic number.

221111001222000 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 221111001222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367101341635392).

221111001222000 is an abundant number, since it is smaller than the sum of its proper divisors (513091682048784).

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

221111001222000 is a wasteful number, since it uses less digits than its factorization.

221111001222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821933 (or 2821917 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221111001222000 its reverse (222100111122), we get a palindrome (221333101333122).

The spelling of 221111001222000 in words is "two hundred twenty-one trillion, one hundred eleven billion, one million, two hundred twenty-two thousand".