1140313233120 has 192 divisors, whose sum is σ = 3603456460800. Its totient is φ = 303114240000.

The previous prime is 1140313233079. The next prime is 1140313233161. The reversal of 1140313233120 is 213323130411.

It is an interprime number because it is at equal distance from previous prime (1140313233079) and next prime (1140313233161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215924880 + ... + 215930160.

It is an arithmetic number, because the mean of its divisors is an integer number (18768002400).

Almost surely, 2^{1140313233120} is an apocalyptic number.

1140313233120 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 1140313233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801728230400).

1140313233120 is an abundant number, since it is smaller than the sum of its proper divisors (2463143227680).

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

1140313233120 is a wasteful number, since it uses less digits than its factorization.

1140313233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1140313233120 its reverse (213323130411), we get a palindrome (1353636363531).

The spelling of 1140313233120 in words is "one trillion, one hundred forty billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred twenty".