11802000 has 160 divisors (see below), whose sum is σ = 43640064. Its totient is φ = 2688000.

The previous prime is 11801989. The next prime is 11802017. The reversal of 11802000 is 20811.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41860 + ... + 42140.

Almost surely, 2^11802000 is an apocalyptic number.

11802000 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 11802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21820032).

11802000 is an abundant number, since it is smaller than the sum of its proper divisors (31838064).

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

11802000 is a wasteful number, since it uses less digits than its factorization.

11802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11802000 is about 3435.4039063842. The cubic root of 11802000 is about 227.6766731319.

Adding to 11802000 its reverse (20811), we get a palindrome (11822811).

It can be divided in two parts, 11 and 802000, that added together give a triangular number (802011 = T₁₂₆₆).

The spelling of 11802000 in words is "eleven million, eight hundred two thousand".