11322010202112 has 624 divisors, whose sum is σ = 34320905438976. Its totient is φ = 3592028160000.

The previous prime is 11322010202039. The next prime is 11322010202119. The reversal of 11322010202112 is 21120201022311.

It is a super-2 number, since 2×11322010202112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322010202119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26893135662 + ... + 26893136082.

It is an arithmetic number, because the mean of its divisors is an integer number (55001451024).

Almost surely, 2^{11322010202112} is an apocalyptic number.

11322010202112 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 11322010202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160452719488).

11322010202112 is an abundant number, since it is smaller than the sum of its proper divisors (22998895236864).

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

11322010202112 is a wasteful number, since it uses less digits than its factorization.

11322010202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11322010202112 its reverse (21120201022311), we get a palindrome (32442211224423).

The spelling of 11322010202112 in words is "eleven trillion, three hundred twenty-two billion, ten million, two hundred two thousand, one hundred twelve".