1114257200 has 120 divisors (see below), whose sum is σ = 3124895232. Its totient is φ = 373858560.

The previous prime is 1114257191. The next prime is 1114257203. The reversal of 1114257200 is 27524111.

It is not an unprimeable number, because it can be changed into a prime (1114257203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127367 + ... + 135833.

Almost surely, 2^1114257200 is an apocalyptic number.

1114257200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562447616).

1114257200 is an abundant number, since it is smaller than the sum of its proper divisors (2010638032).

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

1114257200 is a wasteful number, since it uses less digits than its factorization.

1114257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1114257200 is about 33380.4913085473. The cubic root of 1114257200 is about 1036.7208104161.

The spelling of 1114257200 in words is "one billion, one hundred fourteen million, two hundred fifty-seven thousand, two hundred".