11122212111120 has 240 divisors, whose sum is σ = 41438382148800. Its totient is φ = 2650593838080.

The previous prime is 11122212111107. The next prime is 11122212111121. The reversal of 11122212111120 is 2111121222111.

It is a happy number.

11122212111120 is a `hidden beast` number, since 1 + 112 + 221 + 211 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11122212111093 and 11122212111102.

It is not an unprimeable number, because it can be changed into a prime (11122212111121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11433735 + ... + 12368294.

It is an arithmetic number, because the mean of its divisors is an integer number (172659925620).

Almost surely, 2^{11122212111120} is an apocalyptic number.

11122212111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122212111120 is an abundant number, since it is smaller than the sum of its proper divisors (30316170037680).

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

11122212111120 is a wasteful number, since it uses less digits than its factorization.

11122212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23802118 (or 23802109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11122212111120 its reverse (2111121222111), we get a palindrome (13233333333231).

The spelling of 11122212111120 in words is "eleven trillion, one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".