14121264 has 40 divisors (see below), whose sum is σ = 38068992. Its totient is φ = 4502080.

The previous prime is 14121229. The next prime is 14121281. The reversal of 14121264 is 46212141.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14121264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5292 + ... + 7499.

Almost surely, 2^14121264 is an apocalyptic number.

It is an amenable number.

14121264 is an abundant number, since it is smaller than the sum of its proper divisors (23947728).

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

14121264 is a wasteful number, since it uses less digits than its factorization.

14121264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12819 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 14121264 is about 3757.8270316767. The cubic root of 14121264 is about 241.7080923569.

It can be divided in two parts, 14 and 121264, that added together give a triangular number (121278 = T₄₉₂).

The spelling of 14121264 in words is "fourteen million, one hundred twenty-one thousand, two hundred sixty-four".