11022001211120 has 80 divisors (see below), whose sum is σ = 26510777487360. Its totient is φ = 4256618053632.

The previous prime is 11022001211113. The next prime is 11022001211147. The reversal of 11022001211120 is 2111210022011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11022001211095 and 11022001211104.

It is a congruent number.

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, 79513712 + ... + 79652208.

It is an arithmetic number, because the mean of its divisors is an integer number (331384718592).

Almost surely, 2^{11022001211120} is an apocalyptic number.

11022001211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022001211120 is an abundant number, since it is smaller than the sum of its proper divisors (15488776276240).

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

11022001211120 is a wasteful number, since it uses less digits than its factorization.

11022001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172842 (or 172836 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11022001211120 its reverse (2111210022011), we get a palindrome (13133211233131).

The spelling of 11022001211120 in words is "eleven trillion, twenty-two billion, one million, two hundred eleven thousand, one hundred twenty".