38122172001 has 27 divisors (see below), whose sum is σ = 56626027731. Its totient is φ = 24713837424.

The previous prime is 38122171987. The next prime is 38122172003. The reversal of 38122172001 is 10027122183.

The square root of 38122172001 is 195249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34112243025 + 4009928976 = 184695^2 + 63324^2 .

It is not a de Polignac number, because 38122172001 - 2²¹ = 38120074849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38122172003) 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 26 ways as a sum of consecutive naturals, for example, 21671760 + ... + 21673518.

Almost surely, 2^38122172001 is an apocalyptic number.

38122172001 is the 195249-th square number.

38122172001 is the 97625-th centered octagonal number.

It is an amenable number.

38122172001 is a deficient number, since it is larger than the sum of its proper divisors (18503855730).

38122172001 is an frugal number, since it uses more digits than its factorization.

38122172001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 38122172001 its reverse (10027122183), we get a palindrome (48149294184).

The spelling of 38122172001 in words is "thirty-eight billion, one hundred twenty-two million, one hundred seventy-two thousand, one".