121120012222001 has 16 divisors (see below), whose sum is σ = 133619717960400. Its totient is φ = 109075046446080.

The previous prime is 121120012221991. The next prime is 121120012222019. The reversal of 121120012222001 is 100222210021121.

It can be written as a sum of positive squares in 8 ways, for example, as 22329631979776 + 98790380242225 = 4725424^2 + 9939335^2 .

It is not a de Polignac number, because 121120012222001 - 2⁶ = 121120012221937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121120012222801) 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, 52247075 + ... + 54516023.

It is an arithmetic number, because the mean of its divisors is an integer number (8351232372525).

Almost surely, 2^{121120012222001} is an apocalyptic number.

It is an amenable number.

121120012222001 is a deficient number, since it is larger than the sum of its proper divisors (12499705738399).

121120012222001 is a wasteful number, since it uses less digits than its factorization.

121120012222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369156.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121120012222001 its reverse (100222210021121), we get a palindrome (221342222243122).

The spelling of 121120012222001 in words is "one hundred twenty-one trillion, one hundred twenty billion, twelve million, two hundred twenty-two thousand, one".