11970000 has 300 divisors, whose sum is σ = 50358880. Its totient is φ = 2592000.

The previous prime is 11969987. The next prime is 11970017. The reversal of 11970000 is 7911.

11970000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629991 + ... + 630009.

Almost surely, 2^11970000 is an apocalyptic number.

11970000 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 11970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179440).

11970000 is an abundant number, since it is smaller than the sum of its proper divisors (38388880).

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

11970000 is a wasteful number, since it uses less digits than its factorization.

11970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11970000 is about 3459.7687784012. The cubic root of 11970000 is about 228.7519035943.

Adding to 11970000 its reverse (7911), we get a palindrome (11977911).

The spelling of 11970000 in words is "eleven million, nine hundred seventy thousand".