121112010001200 has 480 divisors, whose sum is σ = 400902938284032. Its totient is φ = 31230323712000.

The previous prime is 121112010001139. The next prime is 121112010001211. The reversal of 121112010001200 is 2100010211121.

121112010001200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10117111215 + ... + 10117123185.

Almost surely, 2^{121112010001200} is an apocalyptic number.

121112010001200 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 121112010001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200451469142016).

121112010001200 is an abundant number, since it is smaller than the sum of its proper divisors (279790928282832).

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

121112010001200 is a wasteful number, since it uses less digits than its factorization.

121112010001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121112010001200 its reverse (2100010211121), we get a palindrome (123212020212321).

The spelling of 121112010001200 in words is "one hundred twenty-one trillion, one hundred twelve billion, ten million, one thousand, two hundred".