8120241972 has 36 divisors (see below), whose sum is σ = 20546845956. Its totient is φ = 2704020480.

The previous prime is 8120241971. The next prime is 8120242007. The reversal of 8120241972 is 2791420218.

It can be written as a sum of positive squares in 2 ways, for example, as 6594089616 + 1526152356 = 81204^2 + 39066^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120241971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77229 + ... + 149012.

It is an arithmetic number, because the mean of its divisors is an integer number (570745721).

Almost surely, 2^8120241972 is an apocalyptic number.

It is an amenable number.

8120241972 is an abundant number, since it is smaller than the sum of its proper divisors (12426603984).

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

8120241972 is a wasteful number, since it uses less digits than its factorization.

8120241972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227248 (or 227243 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8120241972 is about 90112.3852308882. The cubic root of 8120241972 is about 2009.9703775244.

The spelling of 8120241972 in words is "eight billion, one hundred twenty million, two hundred forty-one thousand, nine hundred seventy-two".