12141006408 has 160 divisors (see below), whose sum is σ = 35196480000. Its totient is φ = 3906040320.

The previous prime is 12141006391. The next prime is 12141006419. The reversal of 12141006408 is 80460014121.

It is a happy number.

12141006408 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 10 + 0 + 640 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12032208 + ... + 12033216.

It is an arithmetic number, because the mean of its divisors is an integer number (219978000).

Almost surely, 2^12141006408 is an apocalyptic number.

12141006408 is a gapful number since it is divisible by the number (18) 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 12141006408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17598240000).

12141006408 is an abundant number, since it is smaller than the sum of its proper divisors (23055473592).

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

12141006408 is a wasteful number, since it uses less digits than its factorization.

12141006408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12141006408 in words is "twelve billion, one hundred forty-one million, six thousand, four hundred eight".