11012330031120 has 240 divisors, whose sum is σ = 40351593439872. Its totient is φ = 2669230909440.

The previous prime is 11012330031103. The next prime is 11012330031133. The reversal of 11012330031120 is 2113003321011.

11012330031120 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 330 + 0 + 311 + 20 = 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 = 11012330031093 and 11012330031102.

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, 51158757 + ... + 51373563.

Almost surely, 2^{11012330031120} is an apocalyptic number.

11012330031120 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 11012330031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175796719936).

11012330031120 is an abundant number, since it is smaller than the sum of its proper divisors (29339263408752).

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

11012330031120 is a wasteful number, since it uses less digits than its factorization.

11012330031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221310 (or 221301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11012330031120 its reverse (2113003321011), we get a palindrome (13125333352131).

The spelling of 11012330031120 in words is "eleven trillion, twelve billion, three hundred thirty million, thirty-one thousand, one hundred twenty".