1306112001264 has 120 divisors (see below), whose sum is σ = 4193370035712. Its totient is φ = 371755866240.

The previous prime is 1306112001263. The next prime is 1306112001287. The reversal of 1306112001264 is 4621002116031.

It is a happy number.

1306112001264 is a `hidden beast` number, since 1 + 3 + 0 + 611 + 20 + 0 + 1 + 26 + 4 = 666.

It is a super-2 number, since 2×1306112001264² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306112001263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2198292 + ... + 2728499.

Almost surely, 2^{1306112001264} is an apocalyptic number.

1306112001264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1306112001264 is an abundant number, since it is smaller than the sum of its proper divisors (2887258034448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306112001264 is a wasteful number, since it uses less digits than its factorization.

1306112001264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927075 (or 4927066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1306112001264 its reverse (4621002116031), we get a palindrome (5927114117295).

The spelling of 1306112001264 in words is "one trillion, three hundred six billion, one hundred twelve million, one thousand, two hundred sixty-four".