11902000 has 80 divisors (see below), whose sum is σ = 31453344. Its totient is φ = 4320000.

The previous prime is 11901979. The next prime is 11902001. The reversal of 11902000 is 20911.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11902001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21730 + ... + 22270.

Almost surely, 2^11902000 is an apocalyptic number.

11902000 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 11902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726672).

11902000 is an abundant number, since it is smaller than the sum of its proper divisors (19551344).

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

11902000 is a wasteful number, since it uses less digits than its factorization.

11902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 11902000 is about 3449.9275354709. The cubic root of 11902000 is about 228.3179108817.

Adding to 11902000 its reverse (20911), we get a palindrome (11922911).

The spelling of 11902000 in words is "eleven million, nine hundred two thousand".