121200112122001 has 32 divisors (see below), whose sum is σ = 140797889971200. Its totient is φ = 103171770463680.

The previous prime is 121200112121951. The next prime is 121200112122007. The reversal of 121200112122001 is 100221211002121.

It is a cyclic number.

It is not a de Polignac number, because 121200112122001 - 2⁷ = 121200112121873 is a prime.

It is a super-2 number, since 2×121200112122001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121200112122007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644611 + ... + 15990103.

It is an arithmetic number, because the mean of its divisors is an integer number (4399934061600).

Almost surely, 2^{121200112122001} is an apocalyptic number.

121200112122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121200112122001 is a deficient number, since it is larger than the sum of its proper divisors (19597777849199).

121200112122001 is a wasteful number, since it uses less digits than its factorization.

121200112122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346069.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121200112122001 its reverse (100221211002121), we get a palindrome (221421323124122).

The spelling of 121200112122001 in words is "one hundred twenty-one trillion, two hundred billion, one hundred twelve million, one hundred twenty-two thousand, one".