22111200010000 has 50 divisors (see below), whose sum is σ = 53533426368422. Its totient is φ = 8844480000000.

The previous prime is 22111200009937. The next prime is 22111200010019. The reversal of 22111200010000 is 1000211122.

It can be written as a sum of positive squares in 5 ways, for example, as 3704731853824 + 18406468156176 = 1924768^2 + 4290276^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1105550001 + ... + 1105570000.

Almost surely, 2^{22111200010000} is an apocalyptic number.

22111200010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111200010000 is an abundant number, since it is smaller than the sum of its proper divisors (31422226358422).

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

22111200010000 is an equidigital number, since it uses as much as digits as its factorization.

22111200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211120029 (or 2211120008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22111200010000 its reverse (1000211122), we get a palindrome (22112200221122).

The spelling of 22111200010000 in words is "twenty-two trillion, one hundred eleven billion, two hundred million, ten thousand".