26112200 has 48 divisors (see below), whose sum is σ = 61218180. Its totient is φ = 10357760.

The previous prime is 26112181. The next prime is 26112211. The reversal of 26112200 is 221162.

It can be written as a sum of positive squares in 6 ways, for example, as 9449476 + 16662724 = 3074^2 + 4082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26924 + ... + 27876.

Almost surely, 2^26112200 is an apocalyptic number.

26112200 is a gapful number since it is divisible by the number (20) 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 26112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609090).

26112200 is an abundant number, since it is smaller than the sum of its proper divisors (35105980).

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

26112200 is a wasteful number, since it uses less digits than its factorization.

26112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 26112200 is about 5110.0097847264. The cubic root of 26112200 is about 296.6751389801.

Adding to 26112200 its reverse (221162), we get a palindrome (26333362).

The spelling of 26112200 in words is "twenty-six million, one hundred twelve thousand, two hundred".