22311121221090 has 384 divisors, whose sum is σ = 64124335521792. Its totient is φ = 5348848919040.

The previous prime is 22311121221049. The next prime is 22311121221091. The reversal of 22311121221090 is 9012212111322.

22311121221090 is a `hidden beast` number, since 2 + 2 + 311 + 121 + 221 + 0 + 9 + 0 = 666.

It is a super-3 number, since 3×22311121221090³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22311121221091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2500401369 + ... + 2500410291.

It is an arithmetic number, because the mean of its divisors is an integer number (166990457088).

Almost surely, 2^{22311121221090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311121221090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062167760896).

22311121221090 is an abundant number, since it is smaller than the sum of its proper divisors (41813214300702).

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

22311121221090 is a wasteful number, since it uses less digits than its factorization.

22311121221090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 22311121221090 in words is "twenty-two trillion, three hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, ninety".