11950900 has 72 divisors (see below), whose sum is σ = 28982520. Its totient is φ = 4247040.

The previous prime is 11950877. The next prime is 11950901. The reversal of 11950900 is 905911.

It can be written as a sum of positive squares in 12 ways, for example, as 8363664 + 3587236 = 2892^2 + 1894^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11950901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37542 + ... + 37858.

It is an arithmetic number, because the mean of its divisors is an integer number (402535).

Almost surely, 2^11950900 is an apocalyptic number.

11950900 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 11950900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491260).

11950900 is an abundant number, since it is smaller than the sum of its proper divisors (17031620).

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

11950900 is a wasteful number, since it uses less digits than its factorization.

11950900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 11950900 is about 3457.0073763300. The cubic root of 11950900 is about 228.6301690548.

The spelling of 11950900 in words is "eleven million, nine hundred fifty thousand, nine hundred".