11201120001210 has 128 divisors (see below), whose sum is σ = 27864551328768. Its totient is φ = 2879686656000.

The previous prime is 11201120001173. The next prime is 11201120001329. The reversal of 11201120001210 is 1210002110211.

It is a super-3 number, since 3×11201120001210³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78792895 + ... + 78934925.

It is an arithmetic number, because the mean of its divisors is an integer number (217691807256).

Almost surely, 2^{11201120001210} is an apocalyptic number.

11201120001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201120001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932275664384).

11201120001210 is an abundant number, since it is smaller than the sum of its proper divisors (16663431327558).

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

11201120001210 is a wasteful number, since it uses less digits than its factorization.

11201120001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142840.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201120001210 its reverse (1210002110211), we get a palindrome (12411122111421).

The spelling of 11201120001210 in words is "eleven trillion, two hundred one billion, one hundred twenty million, one thousand, two hundred ten".