121112133211200 has 336 divisors, whose sum is σ = 410826812990400. Its totient is φ = 31212784558080.

The previous prime is 121112133211193. The next prime is 121112133211243. The reversal of 121112133211200 is 2112331211121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24174019 + ... + 28750781.

Almost surely, 2^{121112133211200} is an apocalyptic number.

121112133211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121112133211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205413406495200).

121112133211200 is an abundant number, since it is smaller than the sum of its proper divisors (289714679779200).

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

121112133211200 is a wasteful number, since it uses less digits than its factorization.

121112133211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576974 (or 4576959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121112133211200 its reverse (2112331211121), we get a palindrome (123224464422321).

The spelling of 121112133211200 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred thirty-three million, two hundred eleven thousand, two hundred".