22211121040 has 40 divisors (see below), whose sum is σ = 51671391480. Its totient is φ = 8879195136.

The previous prime is 22211121017. The next prime is 22211121047. The reversal of 22211121040 is 4012111222.

It can be written as a sum of positive squares in 4 ways, for example, as 74442384 + 22136678656 = 8628^2 + 148784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22211121047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55492 + ... + 217948.

It is an arithmetic number, because the mean of its divisors is an integer number (1291784787).

Almost surely, 2^22211121040 is an apocalyptic number.

22211121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211121040 is an abundant number, since it is smaller than the sum of its proper divisors (29460270440).

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

22211121040 is a wasteful number, since it uses less digits than its factorization.

22211121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164179 (or 164173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22211121040 its reverse (4012111222), we get a palindrome (26223232262).

The spelling of 22211121040 in words is "twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, forty".