11201220212320 has 96 divisors (see below), whose sum is σ = 26801601019200. Its totient is φ = 4423294672896.

The previous prime is 11201220212269. The next prime is 11201220212363. The reversal of 11201220212320 is 2321202210211.

11201220212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11201220212320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605396 + ... + 9821164.

It is an arithmetic number, because the mean of its divisors is an integer number (279183343950).

Almost surely, 2^{11201220212320} is an apocalyptic number.

11201220212320 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 11201220212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400800509600).

11201220212320 is an abundant number, since it is smaller than the sum of its proper divisors (15600380806880).

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

11201220212320 is a wasteful number, since it uses less digits than its factorization.

11201220212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216520 (or 1216512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11201220212320 its reverse (2321202210211), we get a palindrome (13522422422531).

The spelling of 11201220212320 in words is "eleven trillion, two hundred one billion, two hundred twenty million, two hundred twelve thousand, three hundred twenty".