11210001111120 has 240 divisors, whose sum is σ = 42552249963840. Its totient is φ = 2427428763648.

The previous prime is 11210001111091. The next prime is 11210001111149. The reversal of 11210001111120 is 2111110001211.

It is an interprime number because it is at equal distance from previous prime (11210001111091) and next prime (11210001111149).

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

It is a super-2 number, since 2×11210001111120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11210001111096 and 11210001111105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24861597 + ... + 25308476.

It is an arithmetic number, because the mean of its divisors is an integer number (177301041516).

Almost surely, 2^{11210001111120} is an apocalyptic number.

11210001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210001111120 is an abundant number, since it is smaller than the sum of its proper divisors (31342248852720).

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

11210001111120 is a wasteful number, since it uses less digits than its factorization.

11210001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50170122 (or 50170109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11210001111120 its reverse (2111110001211), we get a palindrome (13321111112331).

The spelling of 11210001111120 in words is "eleven trillion, two hundred ten billion, one million, one hundred eleven thousand, one hundred twenty".