11101332122232 has 128 divisors (see below), whose sum is σ = 30514910976000. Its totient is φ = 3337620128640.

The previous prime is 11101332122201. The next prime is 11101332122297. The reversal of 11101332122232 is 23222123310111.

11101332122232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20477823 + ... + 21012945.

It is an arithmetic number, because the mean of its divisors is an integer number (238397742000).

Almost surely, 2^{11101332122232} is an apocalyptic number.

11101332122232 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 11101332122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257455488000).

11101332122232 is an abundant number, since it is smaller than the sum of its proper divisors (19413578853768).

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

11101332122232 is a wasteful number, since it uses less digits than its factorization.

11101332122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535761 (or 535757 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11101332122232 its reverse (23222123310111), we get a palindrome (34323455432343).

The spelling of 11101332122232 in words is "eleven trillion, one hundred one billion, three hundred thirty-two million, one hundred twenty-two thousand, two hundred thirty-two".