11202120000000 has 1440 divisors, whose sum is σ = 42985271012112. Its totient is φ = 2806272000000.

The previous prime is 11202119999999. The next prime is 11202120000011. The reversal of 11202120000000 is 2120211.

It can be written as a sum of positive squares in 24 ways, for example, as 10544619573504 + 657500426496 = 3247248^2 + 810864^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302759999982 + ... + 302760000018.

Almost surely, 2^{11202120000000} is an apocalyptic number.

11202120000000 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 11202120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21492635506056).

11202120000000 is an abundant number, since it is smaller than the sum of its proper divisors (31783151012112).

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

11202120000000 is an frugal number, since it uses more digits than its factorization.

11202120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11202120000000 its reverse (2120211), we get a palindrome (11202122120211).

The spelling of 11202120000000 in words is "eleven trillion, two hundred two billion, one hundred twenty million", and thus it is an aban number.