22276121112000 has 1344 divisors, whose sum is σ = 95299379355648. Its totient is φ = 4859688960000.

The previous prime is 22276121111983. The next prime is 22276121112017. The reversal of 22276121112000 is 21112167222.

It is a happy number.

22276121112000 is a `hidden beast` number, since 2 + 2 + 27 + 612 + 1 + 1 + 1 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22276121111983) and next prime (22276121112017).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1140542235 + ... + 1140561765.

Almost surely, 2^{22276121112000} is an apocalyptic number.

22276121112000 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 22276121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47649689677824).

22276121112000 is an abundant number, since it is smaller than the sum of its proper divisors (73023258243648).

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

22276121112000 is a wasteful number, since it uses less digits than its factorization.

22276121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19675 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 22276121112000 its reverse (21112167222), we get a palindrome (22297233279222).

The spelling of 22276121112000 in words is "twenty-two trillion, two hundred seventy-six billion, one hundred twenty-one million, one hundred twelve thousand".