123820801 has 8 divisors (see below), whose sum is σ = 133867944. Its totient is φ = 113848320.

The previous prime is 123820769. The next prime is 123820841. The reversal of 123820801 is 108028321.

It can be written as a sum of positive squares in 4 ways, for example, as 58599025 + 65221776 = 7655^2 + 8076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123820801 - 2⁵ = 123820769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123820841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15190 + ... + 21871.

It is an arithmetic number, because the mean of its divisors is an integer number (16733493).

Almost surely, 2^123820801 is an apocalyptic number.

It is an amenable number.

123820801 is a deficient number, since it is larger than the sum of its proper divisors (10047143).

123820801 is a wasteful number, since it uses less digits than its factorization.

123820801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37331.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 123820801 is about 11127.4795439039. The cubic root of 123820801 is about 498.4227645549.

The spelling of 123820801 in words is "one hundred twenty-three million, eight hundred twenty thousand, eight hundred one".