11111220112000 has 64 divisors (see below), whose sum is σ = 27625271043240. Its totient is φ = 4444488038400.

The previous prime is 11111220111989. The next prime is 11111220112001. The reversal of 11111220112000 is 21102211111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3731913057856 + 7379307054144 = 1931816^2 + 2716488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11111220112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347209629 + ... + 347241628.

Almost surely, 2^{11111220112000} is an apocalyptic number.

11111220112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111220112000 is an abundant number, since it is smaller than the sum of its proper divisors (16514050931240).

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

11111220112000 is an frugal number, since it uses more digits than its factorization.

11111220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694451286 (or 694451264 counting only the distinct ones).

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

Adding to 11111220112000 its reverse (21102211111), we get a palindrome (11132322323111).

The spelling of 11111220112000 in words is "eleven trillion, one hundred eleven billion, two hundred twenty million, one hundred twelve thousand".