11032311120012 has 1152 divisors, whose sum is σ = 37374302085120. Its totient is φ = 2768611829760.

The previous prime is 11032311120011. The next prime is 11032311120013. The reversal of 11032311120012 is 21002111323011.

11032311120012 is a `hidden beast` number, since 110 + 32 + 311 + 1 + 200 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11032311120011) and next prime (11032311120013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11032311120011) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47348974648 + ... + 47348974880.

It is an arithmetic number, because the mean of its divisors is an integer number (32442970560).

Almost surely, 2^{11032311120012} is an apocalyptic number.

11032311120012 is a gapful number since it is divisible by the number (12) 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 11032311120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687151042560).

11032311120012 is an abundant number, since it is smaller than the sum of its proper divisors (26341990965108).

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

11032311120012 is a wasteful number, since it uses less digits than its factorization.

11032311120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11032311120012 its reverse (21002111323011), we get a palindrome (32034422443023).

The spelling of 11032311120012 in words is "eleven trillion, thirty-two billion, three hundred eleven million, one hundred twenty thousand, twelve".