1120201323120 has 240 divisors, whose sum is σ = 4106091880800. Its totient is φ = 271426222080.

The previous prime is 1120201323079. The next prime is 1120201323121. The reversal of 1120201323120 is 213231020211.

1120201323120 is a `hidden beast` number, since 1 + 1 + 20 + 201 + 323 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1120201323093 and 1120201323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120201323121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16034826 + ... + 16104534.

It is an arithmetic number, because the mean of its divisors is an integer number (17108716170).

Almost surely, 2^{1120201323120} is an apocalyptic number.

1120201323120 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 1120201323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053045940400).

1120201323120 is an abundant number, since it is smaller than the sum of its proper divisors (2985890557680).

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

1120201323120 is a wasteful number, since it uses less digits than its factorization.

1120201323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71768 (or 71759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1120201323120 its reverse (213231020211), we get a palindrome (1333432343331).

The spelling of 1120201323120 in words is "one trillion, one hundred twenty billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty".