11111022011200 has 42 divisors (see below), whose sum is σ = 27340058540246. Its totient is φ = 4444408803840.

The previous prime is 11111022011161. The next prime is 11111022011233. The reversal of 11111022011200 is 211022011111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 407289028864 + 10703732982336 = 638192^2 + 3271656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3472192779 + ... + 3472195978.

Almost surely, 2^{11111022011200} is an apocalyptic number.

11111022011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111022011200 is an abundant number, since it is smaller than the sum of its proper divisors (16229036529046).

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

11111022011200 is an equidigital number, since it uses as much as digits as its factorization.

11111022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944388779 (or 6944388764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11111022011200 its reverse (211022011111), we get a palindrome (11322044022311).

The spelling of 11111022011200 in words is "eleven trillion, one hundred eleven billion, twenty-two million, eleven thousand, two hundred".