12035052000 has 288 divisors, whose sum is σ = 42971632704. Its totient is φ = 3189888000.

The previous prime is 12035051999. The next prime is 12035052017. The reversal of 12035052000 is 25053021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 6515077 + ... + 6516923.

It is an arithmetic number, because the mean of its divisors is an integer number (149207058).

Almost surely, 2^12035052000 is an apocalyptic number.

12035052000 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 12035052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485816352).

12035052000 is an abundant number, since it is smaller than the sum of its proper divisors (30936580704).

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

12035052000 is a wasteful number, since it uses less digits than its factorization.

12035052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The spelling of 12035052000 in words is "twelve billion, thirty-five million, fifty-two thousand".