12001414140 has 96 divisors (see below), whose sum is σ = 37515045120. Its totient is φ = 3185179200.

The previous prime is 12001414123. The next prime is 12001414147. The reversal of 12001414140 is 4141410021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001414147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61275 + ... + 166605.

It is an arithmetic number, because the mean of its divisors is an integer number (390781720).

Almost surely, 2^12001414140 is an apocalyptic number.

12001414140 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 12001414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18757522560).

12001414140 is an abundant number, since it is smaller than the sum of its proper divisors (25513630980).

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

12001414140 is a wasteful number, since it uses less digits than its factorization.

12001414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105560 (or 105552 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12001414140 its reverse (4141410021), we get a palindrome (16142824161).

The spelling of 12001414140 in words is "twelve billion, one million, four hundred fourteen thousand, one hundred forty".