1140101320120 has 192 divisors, whose sum is σ = 3025324339200. Its totient is φ = 385495568640.

The previous prime is 1140101320091. The next prime is 1140101320147. The reversal of 1140101320120 is 210231010411.

It is a junction number, because it is equal to n+sod(n) for n = 1140101320094 and 1140101320103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150345849 + ... + 150353431.

It is an arithmetic number, because the mean of its divisors is an integer number (15756897600).

Almost surely, 2^{1140101320120} is an apocalyptic number.

1140101320120 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 1140101320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512662169600).

1140101320120 is an abundant number, since it is smaller than the sum of its proper divisors (1885223019080).

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

1140101320120 is a wasteful number, since it uses less digits than its factorization.

1140101320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1140101320120 its reverse (210231010411), we get a palindrome (1350332330531).

The spelling of 1140101320120 in words is "one trillion, one hundred forty billion, one hundred one million, three hundred twenty thousand, one hundred twenty".