1114141200 has 120 divisors (see below), whose sum is σ = 3588389376. Its totient is φ = 295488000.

The previous prime is 1114141199. The next prime is 1114141213. The reversal of 1114141200 is 21414111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1114141200² = 2482621227074880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1114141200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226770 + ... + 231630.

Almost surely, 2^1114141200 is an apocalyptic number.

1114141200 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 1114141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794194688).

1114141200 is an abundant number, since it is smaller than the sum of its proper divisors (2474248176).

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

1114141200 is a wasteful number, since it uses less digits than its factorization.

1114141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1114141200 is about 33378.7537214918. The cubic root of 1114141200 is about 1036.6848331488.

Adding to 1114141200 its reverse (21414111), we get a palindrome (1135555311).

The spelling of 1114141200 in words is "one billion, one hundred fourteen million, one hundred forty-one thousand, two hundred".