22011122111202 has 288 divisors, whose sum is σ = 56114353152000. Its totient is φ = 6217204593600.

The previous prime is 22011122111201. The next prime is 22011122111203. The reversal of 22011122111202 is 20211122111022.

22011122111202 is a `hidden beast` number, since 220 + 1 + 11 + 221 + 11 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (22011122111201) and next prime (22011122111203).

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

It is not an unprimeable number, because it can be changed into a prime (22011122111201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33400791949 + ... + 33400792607.

It is an arithmetic number, because the mean of its divisors is an integer number (194841504000).

Almost surely, 2^{22011122111202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011122111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28057176576000).

22011122111202 is an abundant number, since it is smaller than the sum of its proper divisors (34103231040798).

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

22011122111202 is a wasteful number, since it uses less digits than its factorization.

22011122111202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22011122111202 its reverse (20211122111022), we get a palindrome (42222244222224).

The spelling of 22011122111202 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred two".