1220222332224 has 672 divisors, whose sum is σ = 4318479308160. Its totient is φ = 336617938944.

The previous prime is 1220222332213. The next prime is 1220222332229. The reversal of 1220222332224 is 4222332220221.

1220222332224 is a `hidden beast` number, since 1 + 2 + 202 + 2 + 233 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220222332229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429200947 + ... + 429203789.

Almost surely, 2^{1220222332224} is an apocalyptic number.

1220222332224 is a gapful number since it is divisible by the number (14) 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 1220222332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159239654080).

1220222332224 is an abundant number, since it is smaller than the sum of its proper divisors (3098256975936).

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

1220222332224 is a wasteful number, since it uses less digits than its factorization.

1220222332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1220222332224 its reverse (4222332220221), we get a palindrome (5442554552445).

The spelling of 1220222332224 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty-four".