22011111200000 has 432 divisors, whose sum is σ = 59686808393520. Its totient is φ = 8052203520000.

The previous prime is 22011111199993. The next prime is 22011111200087. The reversal of 22011111200000 is 211111022.

It can be written as a sum of positive squares in 24 ways, for example, as 10329590305024 + 11681520894976 = 3213968^2 + 3417824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133590292 + ... + 1133609708.

Almost surely, 2^{22011111200000} is an apocalyptic number.

22011111200000 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 22011111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29843404196760).

22011111200000 is an abundant number, since it is smaller than the sum of its proper divisors (37675697193520).

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

22011111200000 is an equidigital number, since it uses as much as digits as its factorization.

22011111200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19580 (or 19546 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22011111200000 its reverse (211111022), we get a palindrome (22011322311022).

The spelling of 22011111200000 in words is "twenty-two trillion, eleven billion, one hundred eleven million, two hundred thousand".