222212984000 has 224 divisors, whose sum is σ = 665924747904. Its totient is φ = 71705395200.

The previous prime is 222212983999. The next prime is 222212984003. The reversal of 222212984000 is 489212222.

222212984000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×222212984000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (222212984003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 835292 + ... + 1068708.

Almost surely, 2^222212984000 is an apocalyptic number.

222212984000 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 222212984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332962373952).

222212984000 is an abundant number, since it is smaller than the sum of its proper divisors (443711763904).

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

222212984000 is a wasteful number, since it uses less digits than its factorization.

222212984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233468 (or 233448 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 222212984000 in words is "two hundred twenty-two billion, two hundred twelve million, nine hundred eighty-four thousand".