123735801121 has 9 divisors (see below), whose sum is σ = 126133493241. Its totient is φ = 121382871792.

The previous prime is 123735801113. The next prime is 123735801131. The reversal of 123735801121 is 121108537321.

The square root of 123735801121 is 351761.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21974801121 + 101761000000 = 148239^2 + 319000^2 .

It is not a de Polignac number, because 123735801121 - 2³ = 123735801113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123735801131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18640015 + ... + 18646651.

Almost surely, 2^123735801121 is an apocalyptic number.

123735801121 is the 351761-st square number.

123735801121 is the 175881-st centered octagonal number.

It is an amenable number.

123735801121 is a deficient number, since it is larger than the sum of its proper divisors (2397692120).

123735801121 is an frugal number, since it uses more digits than its factorization.

123735801121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 123735801121 in words is "one hundred twenty-three billion, seven hundred thirty-five million, eight hundred one thousand, one hundred twenty-one".