222212211011120 has 320 divisors, whose sum is σ = 571924644480000. Its totient is φ = 79622098022400.

The previous prime is 222212211011113. The next prime is 222212211011123. The reversal of 222212211011120 is 21110112212222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222212211011092 and 222212211011101.

It is not an unprimeable number, because it can be changed into a prime (222212211011123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27538998446 + ... + 27539006514.

It is an arithmetic number, because the mean of its divisors is an integer number (1787264514000).

Almost surely, 2^{222212211011120} is an apocalyptic number.

222212211011120 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 222212211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285962322240000).

222212211011120 is an abundant number, since it is smaller than the sum of its proper divisors (349712433468880).

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

222212211011120 is a wasteful number, since it uses less digits than its factorization.

222212211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222212211011120 its reverse (21110112212222), we get a palindrome (243322323223342).

The spelling of 222212211011120 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred eleven million, eleven thousand, one hundred twenty".