123272001 has 12 divisors (see below), whose sum is σ = 178204260. Its totient is φ = 82114560.

The previous prime is 123271999. The next prime is 123272029. The reversal of 123272001 is 100272321.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 121022001 = 1500^2 + 11001^2 .

It is not a de Polignac number, because 123272001 - 2¹ = 123271999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123272081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7821 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (14850355).

Almost surely, 2^123272001 is an apocalyptic number.

It is an amenable number.

123272001 is a deficient number, since it is larger than the sum of its proper divisors (54932259).

123272001 is a wasteful number, since it uses less digits than its factorization.

123272001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11133 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 123272001 is about 11102.7924865774. The cubic root of 123272001 is about 497.6853022173.

The spelling of 123272001 in words is "one hundred twenty-three million, two hundred seventy-two thousand, one".