12035051100540 has 288 divisors, whose sum is σ = 39494628927936. Its totient is φ = 2948930519040.

The previous prime is 12035051100533. The next prime is 12035051100557. The reversal of 12035051100540 is 4500115053021.

12035051100540 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 5 + 0 + 5 + 110 + 0 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484861330 + ... + 484886150.

It is an arithmetic number, because the mean of its divisors is an integer number (137134128222).

Almost surely, 2^{12035051100540} is an apocalyptic number.

12035051100540 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 12035051100540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747314463968).

12035051100540 is an abundant number, since it is smaller than the sum of its proper divisors (27459577827396).

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

12035051100540 is a wasteful number, since it uses less digits than its factorization.

12035051100540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25789 (or 25784 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 12035051100540 its reverse (4500115053021), we get a palindrome (16535166153561).

The spelling of 12035051100540 in words is "twelve trillion, thirty-five billion, fifty-one million, one hundred thousand, five hundred forty".