1012144401 has 24 divisors (see below), whose sum is σ = 1482160680. Its totient is φ = 665491200.

The previous prime is 1012144387. The next prime is 1012144429. The reversal of 1012144401 is 1044412101.

1012144401 is a `hidden beast` number, since 10 + 1 + 214 + 440 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 904401 + 1011240000 = 951^2 + 31800^2 .

It is not a de Polignac number, because 1012144401 - 2¹¹ = 1012142353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012144481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367891 + ... + 370631.

It is an arithmetic number, because the mean of its divisors is an integer number (61756695).

Almost surely, 2^1012144401 is an apocalyptic number.

It is an amenable number.

1012144401 is a deficient number, since it is larger than the sum of its proper divisors (470016279).

1012144401 is a wasteful number, since it uses less digits than its factorization.

1012144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1012144401 is about 31814.2169634898. The cubic root of 1012144401 is about 1004.0318559571.

Adding to 1012144401 its reverse (1044412101), we get a palindrome (2056556502).

The spelling of 1012144401 in words is "one billion, twelve million, one hundred forty-four thousand, four hundred one".