11000000201120 has 96 divisors (see below), whose sum is σ = 31447059452928. Its totient is φ = 3549579890688.

The previous prime is 11000000201111. The next prime is 11000000201123. The reversal of 11000000201120 is 2110200000011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11000000201098 and 11000000201107.

It is not an unprimeable number, because it can be changed into a prime (11000000201123) 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, 288846512 + ... + 288884591.

It is an arithmetic number, because the mean of its divisors is an integer number (327573535968).

Almost surely, 2^{11000000201120} is an apocalyptic number.

11000000201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000000201120 is an abundant number, since it is smaller than the sum of its proper divisors (20447059251808).

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

11000000201120 is a wasteful number, since it uses less digits than its factorization.

11000000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577731142 (or 577731134 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000000201120 its reverse (2110200000011), we get a palindrome (13110200201131).

The spelling of 11000000201120 in words is "eleven trillion, two hundred one thousand, one hundred twenty".