221422024212000 has 384 divisors, whose sum is σ = 763845620428800. Its totient is φ = 55917005184000.

The previous prime is 221422024211987. The next prime is 221422024212073. The reversal of 221422024212000 is 212420224122.

It is a super-4 number, since 4×221422024212000⁴ (a number of 58 digits) contains 4444 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606069385 + ... + 606434615.

It is an arithmetic number, because the mean of its divisors is an integer number (1989181303200).

Almost surely, 2^{221422024212000} is an apocalyptic number.

221422024212000 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 221422024212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381922810214400).

221422024212000 is an abundant number, since it is smaller than the sum of its proper divisors (542423596216800).

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

221422024212000 is a wasteful number, since it uses less digits than its factorization.

221422024212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367937 (or 367919 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221422024212000 its reverse (212420224122), we get a palindrome (221634444436122).

The spelling of 221422024212000 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, twenty-four million, two hundred twelve thousand".