1140312022020 has 144 divisors (see below), whose sum is σ = 3479708926512. Its totient is φ = 302259548160.

The previous prime is 1140312021991. The next prime is 1140312022027. The reversal of 1140312022020 is 202202130411.

It is a happy number.

1140312022020 is a `hidden beast` number, since 1 + 1 + 403 + 1 + 20 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 128634126336 + 1011677895684 = 358656^2 + 1005822^2 .

It is a super-3 number, since 3×1140312022020³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140312021984 and 1140312022002.

It is not an unprimeable number, because it can be changed into a prime (1140312022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80563264 + ... + 80577416.

It is an arithmetic number, because the mean of its divisors is an integer number (24164645323).

Almost surely, 2^{1140312022020} is an apocalyptic number.

1140312022020 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 1140312022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739854463256).

1140312022020 is an abundant number, since it is smaller than the sum of its proper divisors (2339396904492).

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

1140312022020 is a wasteful number, since it uses less digits than its factorization.

1140312022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822 (or 16817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1140312022020 its reverse (202202130411), we get a palindrome (1342514152431).

The spelling of 1140312022020 in words is "one trillion, one hundred forty billion, three hundred twelve million, twenty-two thousand, twenty".