123753201 has 32 divisors (see below), whose sum is σ = 197070720. Its totient is φ = 68083200.

The previous prime is 123753187. The next prime is 123753239. The reversal of 123753201 is 102357321.

It is not a de Polignac number, because 123753201 - 2⁷ = 123753073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123753241) 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 31 ways as a sum of consecutive naturals, for example, 23805 + ... + 28533.

It is an arithmetic number, because the mean of its divisors is an integer number (6158460).

Almost surely, 2^123753201 is an apocalyptic number.

123753201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123753201 is a deficient number, since it is larger than the sum of its proper divisors (73317519).

123753201 is a wasteful number, since it uses less digits than its factorization.

123753201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 123753201 is about 11124.4416039638. The cubic root of 123753201 is about 498.3320433618.

It can be divided in two parts, 12375 and 3201, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 123753201 in words is "one hundred twenty-three million, seven hundred fifty-three thousand, two hundred one".