1214428244121 has 27 divisors (see below), whose sum is σ = 1772201422173. Its totient is φ = 801382399200.

The previous prime is 1214428244059. The next prime is 1214428244143.

The square root of 1214428244121 is 1102011.

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

1214428244121 is a `hidden beast` number, since 1 + 214 + 4 + 2 + 8 + 24 + 412 + 1 = 666.

1214428244121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1487259225 + 1212940984896 = 38565^2 + 1101336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1214428244121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1214428244521) 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, 333907515 + ... + 333911151.

Almost surely, 2^{1214428244121} is an apocalyptic number.

1214428244121 is the 1102011-st square number.

1214428244121 is the 551006-th centered octagonal number.

It is an amenable number.

1214428244121 is a deficient number, since it is larger than the sum of its proper divisors (557773178052).

1214428244121 is an frugal number, since it uses more digits than its factorization.

1214428244121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 3741 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

Multiplying 1214428244121 by its sum of digits (36), we get a square (43719416788356 = 6612066²).

The spelling of 1214428244121 in words is "one trillion, two hundred fourteen billion, four hundred twenty-eight million, two hundred forty-four thousand, one hundred twenty-one".