12021435032040 has 768 divisors, whose sum is σ = 47473344000000. Its totient is φ = 2650555353600.

The previous prime is 12021435032017. The next prime is 12021435032053. The reversal of 12021435032040 is 4023053412021.

12021435032040 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 435 + 0 + 3 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12021435031995 and 12021435032013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2404765461 + ... + 2404770459.

It is an arithmetic number, because the mean of its divisors is an integer number (61814250000).

Almost surely, 2^{12021435032040} is an apocalyptic number.

12021435032040 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 12021435032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23736672000000).

12021435032040 is an abundant number, since it is smaller than the sum of its proper divisors (35451908967960).

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

12021435032040 is a wasteful number, since it uses less digits than its factorization.

12021435032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12021435032040 its reverse (4023053412021), we get a palindrome (16044488444061).

The spelling of 12021435032040 in words is "twelve trillion, twenty-one billion, four hundred thirty-five million, thirty-two thousand, forty".