222013122240 has 448 divisors, whose sum is σ = 873138760704. Its totient is φ = 46541094912.

The previous prime is 222013122217. The next prime is 222013122257. The reversal of 222013122240 is 42221310222.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13707427 + ... + 13723613.

It is an arithmetic number, because the mean of its divisors is an integer number (1948970448).

Almost surely, 2^222013122240 is an apocalyptic number.

222013122240 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 222013122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436569380352).

222013122240 is an abundant number, since it is smaller than the sum of its proper divisors (651125638464).

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

222013122240 is a wasteful number, since it uses less digits than its factorization.

222013122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16384 (or 16374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 222013122240 its reverse (42221310222), we get a palindrome (264234432462).

The spelling of 222013122240 in words is "two hundred twenty-two billion, thirteen million, one hundred twenty-two thousand, two hundred forty".