11218545120 has 96 divisors (see below), whose sum is σ = 35493081120. Its totient is φ = 2978519040.

The previous prime is 11218545053. The next prime is 11218545131. The reversal of 11218545120 is 2154581211.

11218545120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58890 + ... + 160950.

It is an arithmetic number, because the mean of its divisors is an integer number (369719595).

Almost surely, 2^11218545120 is an apocalyptic number.

11218545120 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 11218545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746540560).

11218545120 is an abundant number, since it is smaller than the sum of its proper divisors (24274536000).

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

11218545120 is a wasteful number, since it uses less digits than its factorization.

11218545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102308 (or 102300 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 11218545120 in words is "eleven billion, two hundred eighteen million, five hundred forty-five thousand, one hundred twenty".