11212058800 has 60 divisors (see below), whose sum is σ = 27087630120. Its totient is φ = 4459740160.

The previous prime is 11212058797. The next prime is 11212058813. The reversal of 11212058800 is 885021211.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6697 + ... + 149896.

It is an arithmetic number, because the mean of its divisors is an integer number (451460502).

Almost surely, 2^11212058800 is an apocalyptic number.

11212058800 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 11212058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543815060).

11212058800 is an abundant number, since it is smaller than the sum of its proper divisors (15875571320).

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

11212058800 is a wasteful number, since it uses less digits than its factorization.

11212058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156790 (or 156779 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The spelling of 11212058800 in words is "eleven billion, two hundred twelve million, fifty-eight thousand, eight hundred".