214121268 has 36 divisors (see below), whose sum is σ = 559917540. Its totient is φ = 68912256.

The previous prime is 214121267. The next prime is 214121269. The reversal of 214121268 is 862121412.

214121268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214121267) and next prime (214121269).

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 107371044 = 10332^2 + 10362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214121261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101505 + ... + 103592.

It is an arithmetic number, because the mean of its divisors is an integer number (15553265).

Almost surely, 2^214121268 is an apocalyptic number.

It is an amenable number.

214121268 is an abundant number, since it is smaller than the sum of its proper divisors (345796272).

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

214121268 is a wasteful number, since it uses less digits than its factorization.

214121268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205136 (or 205131 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 214121268 is about 14632.8831062098. The cubic root of 214121268 is about 598.2553653333.

It can be divided in two parts, 2141 and 21268, that added together give a square (23409 = 153²).

The spelling of 214121268 in words is "two hundred fourteen million, one hundred twenty-one thousand, two hundred sixty-eight".