11287212900 has 216 divisors, whose sum is σ = 34912619616. Its totient is φ = 2814873600.

The previous prime is 11287212869. The next prime is 11287212929. The reversal of 11287212900 is 921278211.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18293392 + ... + 18294008.

Almost surely, 2^11287212900 is an apocalyptic number.

11287212900 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 11287212900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456309808).

11287212900 is an abundant number, since it is smaller than the sum of its proper divisors (23625406716).

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

11287212900 is a wasteful number, since it uses less digits than its factorization.

11287212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11287212900 in words is "eleven billion, two hundred eighty-seven million, two hundred twelve thousand, nine hundred".