1214118828288 has 108 divisors (see below), whose sum is σ = 3524098878300. Its totient is φ = 401990012928.

The previous prime is 1214118828281. The next prime is 1214118828311. The reversal of 1214118828288 is 8828288114121.

1214118828288 is a `hidden beast` number, since 121 + 41 + 188 + 28 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45748076544 + 1168370751744 = 213888^2 + 1080912^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1214118828281) 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, 1425031 + ... + 2111622.

Almost surely, 2^{1214118828288} is an apocalyptic number.

1214118828288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1214118828288 is an abundant number, since it is smaller than the sum of its proper divisors (2309980050012).

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

1214118828288 is a wasteful number, since it uses less digits than its factorization.

1214118828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536824 (or 3536807 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 54.

The spelling of 1214118828288 in words is "one trillion, two hundred fourteen billion, one hundred eighteen million, eight hundred twenty-eight thousand, two hundred eighty-eight".