11211900 has 144 divisors (see below), whose sum is σ = 39164160. Its totient is φ = 2419200.

The previous prime is 11211899. The next prime is 11211913. The reversal of 11211900 is 911211.

11211900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11211900² = 251413403220000, which contains 22 as substring.

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 11211900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39760 + ... + 40040.

Almost surely, 2^11211900 is an apocalyptic number.

11211900 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 11211900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582080).

11211900 is an abundant number, since it is smaller than the sum of its proper divisors (27952260).

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

11211900 is a wasteful number, since it uses less digits than its factorization.

11211900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 11211900 is about 3348.4175366880. The cubic root of 11211900 is about 223.8170008352.

The spelling of 11211900 in words is "eleven million, two hundred eleven thousand, nine hundred".