123200121 has 64 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 67161600.

The previous prime is 123200059. The next prime is 123200131. The reversal of 123200121 is 121002321.

It is not a de Polignac number, because 123200121 - 2¹⁵ = 123167353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123200097 and 123200106.

It is not an unprimeable number, because it can be changed into a prime (123200131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151350 + ... + 1151456.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2^123200121 is an apocalyptic number.

123200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123200121 is a deficient number, since it is larger than the sum of its proper divisors (75367815).

123200121 is a wasteful number, since it uses less digits than its factorization.

123200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 123200121 is about 11099.5549910796. The cubic root of 123200121 is about 497.5885498467.

Adding to 123200121 its reverse (121002321), we get a palindrome (244202442).

It can be divided in two parts, 123200 and 121, that added together give a palindrome (123321).

The spelling of 123200121 in words is "one hundred twenty-three million, two hundred thousand, one hundred twenty-one".