12005411253440 has 112 divisors (see below), whose sum is σ = 31191543859104. Its totient is φ = 4364937830400.

The previous prime is 12005411253421. The next prime is 12005411253449. The reversal of 12005411253440 is 4435211450021.

12005411253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12005411253397 and 12005411253406.

It is not an unprimeable number, because it can be changed into a prime (12005411253449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23105300 + ... + 23619180.

Almost surely, 2^{12005411253440} is an apocalyptic number.

12005411253440 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 12005411253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595771929552).

12005411253440 is an abundant number, since it is smaller than the sum of its proper divisors (19186132605664).

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

12005411253440 is a wasteful number, since it uses less digits than its factorization.

12005411253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520546 (or 520536 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 12005411253440 in words is "twelve trillion, five billion, four hundred eleven million, two hundred fifty-three thousand, four hundred forty".