72120121201 has 4 divisors (see below), whose sum is σ = 72137745652. Its totient is φ = 72102496752.

The previous prime is 72120121187. The next prime is 72120121211. The reversal of 72120121201 is 10212102127.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16744618801 + 55375502400 = 129401^2 + 235320^2 .

It is a cyclic number.

It is not a de Polignac number, because 72120121201 - 2¹⁵ = 72120088433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72120121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8806086 + ... + 8814271.

It is an arithmetic number, because the mean of its divisors is an integer number (18034436413).

Almost surely, 2^72120121201 is an apocalyptic number.

It is an amenable number.

72120121201 is a deficient number, since it is larger than the sum of its proper divisors (17624451).

72120121201 is a wasteful number, since it uses less digits than its factorization.

72120121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17624450.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 72120121201 its reverse (10212102127), we get a palindrome (82332223328).

The spelling of 72120121201 in words is "seventy-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred one".