1233434581201 has 27 divisors (see below), whose sum is σ = 1304275806939. Its totient is φ = 1166344285392.

The previous prime is 1233434581199. The next prime is 1233434581213. The reversal of 1233434581201 is 1021854343321.

The square root of 1233434581201 is 1110601.

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

It can be written as a sum of positive squares in only one way, i.e., 859697985601 + 373736595600 = 927199^2 + 611340^2 .

It is not a de Polignac number, because 1233434581201 - 2¹ = 1233434581199 is a prime.

It is a super-2 number, since 2×1233434581201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1233434581801) 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, 2784276486 + ... + 2784276928.

Almost surely, 2^{1233434581201} is an apocalyptic number.

1233434581201 is the 1110601-st square number.

1233434581201 is the 555301-st centered octagonal number.

It is an amenable number.

1233434581201 is a deficient number, since it is larger than the sum of its proper divisors (70841225738).

1233434581201 is an frugal number, since it uses more digits than its factorization.

1233434581201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 1233434581201 in words is "one trillion, two hundred thirty-three billion, four hundred thirty-four million, five hundred eighty-one thousand, two hundred one".