12141507840 has 432 divisors, whose sum is σ = 48724577664. Its totient is φ = 2522234880.

The previous prime is 12141507799. The next prime is 12141507883. The reversal of 12141507840 is 4870514121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250614 + ... + 3254346.

Almost surely, 2^12141507840 is an apocalyptic number.

12141507840 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 12141507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24362288832).

12141507840 is an abundant number, since it is smaller than the sum of its proper divisors (36583069824).

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

12141507840 is a wasteful number, since it uses less digits than its factorization.

12141507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 12141507840 in words is "twelve billion, one hundred forty-one million, five hundred seven thousand, eight hundred forty".