12141083001600 has 540 divisors, whose sum is σ = 51304147598704. Its totient is φ = 2775103856640.

The previous prime is 12141083001589. The next prime is 12141083001601. The reversal of 12141083001600 is 610038014121.

It is a happy number.

12141083001600 is a `hidden beast` number, since 1 + 2 + 14 + 10 + 8 + 30 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (12141083001601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1955922 + ... + 5301678.

Almost surely, 2^{12141083001600} is an apocalyptic number.

12141083001600 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 12141083001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652073799352).

12141083001600 is an abundant number, since it is smaller than the sum of its proper divisors (39163064597104).

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

12141083001600 is an equidigital number, since it uses as much as digits as its factorization.

12141083001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345802 (or 3345774 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12141083001600 in words is "twelve trillion, one hundred forty-one billion, eighty-three million, one thousand, six hundred".