11000201211220 has 48 divisors (see below), whose sum is σ = 24939416709648. Its totient is φ = 4051484006400.

The previous prime is 11000201211199. The next prime is 11000201211229. The reversal of 11000201211220 is 2211210200011.

It can be written as a sum of positive squares in 8 ways, for example, as 1540110784144 + 9460090427076 = 1241012^2 + 3075726^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11000201211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000201211229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52649439 + ... + 52857958.

It is an arithmetic number, because the mean of its divisors is an integer number (519571181451).

Almost surely, 2^{11000201211220} is an apocalyptic number.

11000201211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000201211220 is an abundant number, since it is smaller than the sum of its proper divisors (13939215498428).

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

11000201211220 is a wasteful number, since it uses less digits than its factorization.

11000201211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105507820 (or 105507818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11000201211220 its reverse (2211210200011), we get a palindrome (13211411411231).

The spelling of 11000201211220 in words is "eleven trillion, two hundred one million, two hundred eleven thousand, two hundred twenty".