22311121221000 has 320 divisors, whose sum is σ = 78359443493760. Its totient is φ = 5921430480000.

The previous prime is 22311121220989. The next prime is 22311121221049. The reversal of 22311121221000 is 12212111322.

22311121221000 is a `hidden beast` number, since 2 + 231 + 11 + 212 + 210 + 0 + 0 = 666.

It is a super-3 number, since 3×22311121221000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16438285 + ... + 17743715.

It is an arithmetic number, because the mean of its divisors is an integer number (244873260918).

Almost surely, 2^{22311121221000} is an apocalyptic number.

22311121221000 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 22311121221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39179721746880).

22311121221000 is an abundant number, since it is smaller than the sum of its proper divisors (56048322272760).

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

22311121221000 is a wasteful number, since it uses less digits than its factorization.

22311121221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305675 (or 1305652 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22311121221000 its reverse (12212111322), we get a palindrome (22323333332322).

The spelling of 22311121221000 in words is "twenty-two trillion, three hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand".