22211212320 has 288 divisors, whose sum is σ = 85355472384. Its totient is φ = 5210726400.

The previous prime is 22211212301. The next prime is 22211212321. The reversal of 22211212320 is 2321211222.

22211212320 is a `hidden beast` number, since 2 + 221 + 121 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22211212293 and 22211212302.

It is not an unprimeable number, because it can be changed into a prime (22211212321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468424 + ... + 513656.

It is an arithmetic number, because the mean of its divisors is an integer number (296373168).

Almost surely, 2^22211212320 is an apocalyptic number.

22211212320 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 22211212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42677736192).

22211212320 is an abundant number, since it is smaller than the sum of its proper divisors (63144260064).

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

22211212320 is a wasteful number, since it uses less digits than its factorization.

22211212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45296 (or 45285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22211212320 its reverse (2321211222), we get a palindrome (24532423542).

It can be divided in two parts, 222112 and 12320, that added together give a palindrome (234432).

The spelling of 22211212320 in words is "twenty-two billion, two hundred eleven million, two hundred twelve thousand, three hundred twenty".