11212142111120 has 40 divisors (see below), whose sum is σ = 26200556487864. Its totient is φ = 4462091067392.

The previous prime is 11212142111117. The next prime is 11212142111173. The reversal of 11212142111120 is 2111124121211.

11212142111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4527890317456 + 6684251793664 = 2127884^2 + 2585392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11212142111092 and 11212142111101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355699409 + ... + 355730928.

Almost surely, 2^{11212142111120} is an apocalyptic number.

11212142111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212142111120 is an abundant number, since it is smaller than the sum of its proper divisors (14988414376744).

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

11212142111120 is a wasteful number, since it uses less digits than its factorization.

11212142111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711430547 (or 711430541 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 11212142111120 its reverse (2111124121211), we get a palindrome (13323266232331).

The spelling of 11212142111120 in words is "eleven trillion, two hundred twelve billion, one hundred forty-two million, one hundred eleven thousand, one hundred twenty".