11321212113120 has 768 divisors, whose sum is σ = 45695703674880. Its totient is φ = 2292232421376.

The previous prime is 11321212113091. The next prime is 11321212113143. The reversal of 11321212113120 is 2131121212311.

It is a super-2 number, since 2×11321212113120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117931701 + ... + 118027659.

It is an arithmetic number, because the mean of its divisors is an integer number (59499614160).

Almost surely, 2^{11321212113120} is an apocalyptic number.

11321212113120 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 11321212113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22847851837440).

11321212113120 is an abundant number, since it is smaller than the sum of its proper divisors (34374491561760).

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

11321212113120 is a wasteful number, since it uses less digits than its factorization.

11321212113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96107 (or 96099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11321212113120 its reverse (2131121212311), we get a palindrome (13452333325431).

The spelling of 11321212113120 in words is "eleven trillion, three hundred twenty-one billion, two hundred twelve million, one hundred thirteen thousand, one hundred twenty".