11200233120 has 48 divisors (see below), whose sum is σ = 35280735840. Its totient is φ = 2986728704.

The previous prime is 11200233113. The next prime is 11200233127. The reversal of 11200233120 is 2133200211.

It is an interprime number because it is at equal distance from previous prime (11200233113) and next prime (11200233127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11200233120.

It is not an unprimeable number, because it can be changed into a prime (11200233127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11666430 + ... + 11667389.

It is an arithmetic number, because the mean of its divisors is an integer number (735015330).

Almost surely, 2^11200233120 is an apocalyptic number.

11200233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200233120 is an abundant number, since it is smaller than the sum of its proper divisors (24080502720).

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

11200233120 is a wasteful number, since it uses less digits than its factorization.

11200233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23333837 (or 23333829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11200233120 its reverse (2133200211), we get a palindrome (13333433331).

The spelling of 11200233120 in words is "eleven billion, two hundred million, two hundred thirty-three thousand, one hundred twenty".