1222121122128 has 100 divisors (see below), whose sum is σ = 3549761955828. Its totient is φ = 405923857920.

The previous prime is 1222121122087. The next prime is 1222121122129. The reversal of 1222121122128 is 8212211212221.

It is a happy number.

1222121122128 is a `hidden beast` number, since 1 + 2 + 221 + 211 + 221 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481647104064 + 740474018064 = 694008^2 + 860508^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222121122129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1313751 + ... + 2042102.

Almost surely, 2^{1222121122128} is an apocalyptic number.

1222121122128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1222121122128 is an abundant number, since it is smaller than the sum of its proper divisors (2327640833700).

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

1222121122128 is a wasteful number, since it uses less digits than its factorization.

1222121122128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356154 (or 3356139 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

Adding to 1222121122128 its reverse (8212211212221), we get a palindrome (9434332334349).

The spelling of 1222121122128 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-eight".