11221012211120 has 80 divisors (see below), whose sum is σ = 26159849100000. Its totient is φ = 4476196644864.

The previous prime is 11221012211119. The next prime is 11221012211131. The reversal of 11221012211120 is 2111221012211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11221012211120² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 123603506 + ... + 123694254.

It is an arithmetic number, because the mean of its divisors is an integer number (326998113750).

Almost surely, 2^{11221012211120} is an apocalyptic number.

11221012211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221012211120 is an abundant number, since it is smaller than the sum of its proper divisors (14938836888880).

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

11221012211120 is a wasteful number, since it uses less digits than its factorization.

11221012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94950 (or 94944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11221012211120 its reverse (2111221012211), we get a palindrome (13332233223331).

The spelling of 11221012211120 in words is "eleven trillion, two hundred twenty-one billion, twelve million, two hundred eleven thousand, one hundred twenty".