12140501200000 has 192 divisors, whose sum is σ = 30268933367400. Its totient is φ = 4850068480000.

The previous prime is 12140501199989. The next prime is 12140501200001. The reversal of 12140501200000 is 210504121.

It can be written as a sum of positive squares in 12 ways, for example, as 3110764677696 + 9029736522304 = 1763736^2 + 3004952^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12140501200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323581242 + ... + 323618758.

Almost surely, 2^{12140501200000} is an apocalyptic number.

12140501200000 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 12140501200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134466683700).

12140501200000 is an abundant number, since it is smaller than the sum of its proper divisors (18128432167400).

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

12140501200000 is an frugal number, since it uses more digits than its factorization.

12140501200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38365 (or 38333 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12140501200000 its reverse (210504121), we get a palindrome (12140711704121).

The spelling of 12140501200000 in words is "twelve trillion, one hundred forty billion, five hundred one million, two hundred thousand".