1140501301200 has 180 divisors, whose sum is σ = 3964038844428. Its totient is φ = 303658598400.

The previous prime is 1140501301151. The next prime is 1140501301213. The reversal of 1140501301200 is 21031050411.

1140501301200 is a `hidden beast` number, since 1 + 1 + 40 + 501 + 3 + 0 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 543635856 + 1139957665344 = 23316^2 + 1067688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2060482 + ... + 2554718.

Almost surely, 2^{1140501301200} is an apocalyptic number.

1140501301200 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 1140501301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982019422214).

1140501301200 is an abundant number, since it is smaller than the sum of its proper divisors (2823537543228).

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

1140501301200 is a wasteful number, since it uses less digits than its factorization.

1140501301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494902 (or 494888 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1140501301200 its reverse (21031050411), we get a palindrome (1161532351611).

The spelling of 1140501301200 in words is "one trillion, one hundred forty billion, five hundred one million, three hundred one thousand, two hundred".