12035010400 has 144 divisors (see below), whose sum is σ = 35345237760. Its totient is φ = 3909081600.

The previous prime is 12035010373. The next prime is 12035010401. The reversal of 12035010400 is 401053021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12035010401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49845 + ... + 162955.

It is an arithmetic number, because the mean of its divisors is an integer number (245453040).

Almost surely, 2^12035010400 is an apocalyptic number.

12035010400 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 12035010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17672618880).

12035010400 is an abundant number, since it is smaller than the sum of its proper divisors (23310227360).

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

12035010400 is a wasteful number, since it uses less digits than its factorization.

12035010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113157 (or 113144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 12035010400 its reverse (401053021), we get a palindrome (12436063421).

The spelling of 12035010400 in words is "twelve billion, thirty-five million, ten thousand, four hundred".