11212112001120 has 96 divisors (see below), whose sum is σ = 35984533126752. Its totient is φ = 2933483384832.

The previous prime is 11212112001091. The next prime is 11212112001133. The reversal of 11212112001120 is 2110021121211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11212112001120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11212112001120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220338397 + ... + 220389276.

It is an arithmetic number, because the mean of its divisors is an integer number (374838886737).

Almost surely, 2^{11212112001120} is an apocalyptic number.

11212112001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212112001120 is an abundant number, since it is smaller than the sum of its proper divisors (24772421125632).

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

11212112001120 is a wasteful number, since it uses less digits than its factorization.

11212112001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440727744 (or 440727736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11212112001120 its reverse (2110021121211), we get a palindrome (13322133122331).

The spelling of 11212112001120 in words is "eleven trillion, two hundred twelve billion, one hundred twelve million, one thousand, one hundred twenty".