1114121340200 has 96 divisors (see below), whose sum is σ = 2826330174720. Its totient is φ = 405061440000.

The previous prime is 1114121340119. The next prime is 1114121340253. The reversal of 1114121340200 is 20431214111.

It is a super-4 number, since 4×1114121340200⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12895145 + ... + 12981255.

It is an arithmetic number, because the mean of its divisors is an integer number (29440939320).

Almost surely, 2^{1114121340200} is an apocalyptic number.

1114121340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114121340200 is an abundant number, since it is smaller than the sum of its proper divisors (1712208834520).

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

1114121340200 is a wasteful number, since it uses less digits than its factorization.

1114121340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92019 (or 92010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1114121340200 its reverse (20431214111), we get a palindrome (1134552554311).

The spelling of 1114121340200 in words is "one trillion, one hundred fourteen billion, one hundred twenty-one million, three hundred forty thousand, two hundred".