1233741126121 has 27 divisors (see below), whose sum is σ = 1500497346621. Its totient is φ = 1011367846104.

The previous prime is 1233741126097. The next prime is 1233741126181. The reversal of 1233741126121 is 1216211473321.

The square root of 1233741126121 is 1110739.

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

It is not a de Polignac number, because 1233741126121 - 2¹⁷ = 1233740995049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1233741126181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178825530 + ... + 178832428.

Almost surely, 2^{1233741126121} is an apocalyptic number.

1233741126121 is the 1110739-th square number.

1233741126121 is the 555370-th centered octagonal number.

It is an amenable number.

1233741126121 is a deficient number, since it is larger than the sum of its proper divisors (266756220500).

1233741126121 is an frugal number, since it uses more digits than its factorization.

1233741126121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 6929 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

Adding to 1233741126121 its reverse (1216211473321), we get a palindrome (2449952599442).

The spelling of 1233741126121 in words is "one trillion, two hundred thirty-three billion, seven hundred forty-one million, one hundred twenty-six thousand, one hundred twenty-one".