1115201333120 has 512 divisors, whose sum is σ = 3184005888000. Its totient is φ = 373261271040.

The previous prime is 1115201333117. The next prime is 1115201333131. The reversal of 1115201333120 is 213331025111.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1767355205 + ... + 1767355835.

It is an arithmetic number, because the mean of its divisors is an integer number (6218761500).

Almost surely, 2^{1115201333120} is an apocalyptic number.

1115201333120 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 1115201333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592002944000).

1115201333120 is an abundant number, since it is smaller than the sum of its proper divisors (2068804554880).

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

1115201333120 is an frugal number, since it uses more digits than its factorization.

1115201333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 1115201333120 its reverse (213331025111), we get a palindrome (1328532358231).

The spelling of 1115201333120 in words is "one trillion, one hundred fifteen billion, two hundred one million, three hundred thirty-three thousand, one hundred twenty".