11212500 has 144 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 2640000.

The previous prime is 11212447. The next prime is 11212501. The reversal of 11212500 is 521211.

11212500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487489 + ... + 487511.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

Almost surely, 2^11212500 is an apocalyptic number.

11212500 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 11212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

11212500 is an abundant number, since it is smaller than the sum of its proper divisors (25535148).

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

11212500 is a wasteful number, since it uses less digits than its factorization.

11212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11212500 is about 3348.5071300506. The cubic root of 11212500 is about 223.8209932542.

Subtracting from 11212500 its product of nonzero digits (20), we obtain a triangular number (11212480 = T₄₇₃₅).

Adding to 11212500 its reverse (521211), we get a palindrome (11733711).

The spelling of 11212500 in words is "eleven million, two hundred twelve thousand, five hundred".