121120221212001 has 16 divisors (see below), whose sum is σ = 195749852464320. Its totient is φ = 73406194673760.

The previous prime is 121120221211993. The next prime is 121120221212009. The reversal of 121120221212001 is 100212122021121.

121120221212001 is a `hidden beast` number, since 1 + 211 + 20 + 221 + 212 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121120221211993) and next prime (121120221212009).

It is not a de Polignac number, because 121120221212001 - 2³ = 121120221211993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121120221212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203906096020 + ... + 203906096613.

It is an arithmetic number, because the mean of its divisors is an integer number (12234365779020).

Almost surely, 2^{121120221212001} is an apocalyptic number.

121120221212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121120221212001 is a deficient number, since it is larger than the sum of its proper divisors (74629631252319).

121120221212001 is a wasteful number, since it uses less digits than its factorization.

121120221212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407812192653 (or 407812192647 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121120221212001 its reverse (100212122021121), we get a palindrome (221332343233122).

The spelling of 121120221212001 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, one".