1140001130000 has 200 divisors, whose sum is σ = 3016698347520. Its totient is φ = 415330560000.

The previous prime is 1140001129973. The next prime is 1140001130027. The reversal of 1140001130000 is 311000411.

It is an interprime number because it is at equal distance from previous prime (1140001129973) and next prime (1140001130027).

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 5161841 + ... + 5378159.

Almost surely, 2^{1140001130000} is an apocalyptic number.

1140001130000 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 1140001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508349173760).

1140001130000 is an abundant number, since it is smaller than the sum of its proper divisors (1876697217520).

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

1140001130000 is a wasteful number, since it uses less digits than its factorization.

1140001130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216395 (or 216374 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1140001130000 its reverse (311000411), we get a palindrome (1140312130411).

The spelling of 1140001130000 in words is "one trillion, one hundred forty billion, one million, one hundred thirty thousand".