12035122400 has 144 divisors (see below), whose sum is σ = 33624160416. Its totient is φ = 4120657920.

The previous prime is 12035122391. The next prime is 12035122417. The reversal of 12035122400 is 422153021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7262372 + ... + 7264028.

It is an arithmetic number, because the mean of its divisors is an integer number (233501114).

Almost surely, 2^12035122400 is an apocalyptic number.

12035122400 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 12035122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812080208).

12035122400 is an abundant number, since it is smaller than the sum of its proper divisors (21589038016).

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

12035122400 is a wasteful number, since it uses less digits than its factorization.

12035122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12035122400 its reverse (422153021), we get a palindrome (12457275421).

The spelling of 12035122400 in words is "twelve billion, thirty-five million, one hundred twenty-two thousand, four hundred".