22312101120000 has 960 divisors, whose sum is σ = 77807325435840. Its totient is φ = 5677940736000.

The previous prime is 22312101119999. The next prime is 22312101120059. The reversal of 22312101120000 is 2110121322.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×22312101120000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 7530238519 + ... + 7530241481.

It is an arithmetic number, because the mean of its divisors is an integer number (81049297329).

Almost surely, 2^{22312101120000} is an apocalyptic number.

22312101120000 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 22312101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38903662717920).

22312101120000 is an abundant number, since it is smaller than the sum of its proper divisors (55495224315840).

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

22312101120000 is an equidigital number, since it uses as much as digits as its factorization.

22312101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22312101120000 its reverse (2110121322), we get a palindrome (22314211241322).

The spelling of 22312101120000 in words is "twenty-two trillion, three hundred twelve billion, one hundred one million, one hundred twenty thousand".