12112011112000 has 112 divisors (see below), whose sum is σ = 30270584813040. Its totient is φ = 4800356352000.

The previous prime is 12112011111973. The next prime is 12112011112027. The reversal of 12112011112000 is 21111021121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12112011111973) and next prime (12112011112027).

It can be written as a sum of positive squares in 8 ways, for example, as 2677333697536 + 9434677414464 = 1636256^2 + 3071592^2 .

It is a super-2 number, since 2×12112011112000² (a number of 27 digits) contains 22 as substring.

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, 6072961 + ... + 7816960.

Almost surely, 2^{12112011112000} is an apocalyptic number.

12112011112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112011112000 is an abundant number, since it is smaller than the sum of its proper divisors (18158573701040).

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

12112011112000 is a wasteful number, since it uses less digits than its factorization.

12112011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890057 (or 13890037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12112011112000 its reverse (21111021121), we get a palindrome (12133122133121).

The spelling of 12112011112000 in words is "twelve trillion, one hundred twelve billion, eleven million, one hundred twelve thousand".