12961200000 has 384 divisors, whose sum is σ = 49211850240. Its totient is φ = 2960640000.

The previous prime is 12961199983. The next prime is 12961200001. The reversal of 12961200000 is 216921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12961200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399229 + ... + 8400771.

It is an arithmetic number, because the mean of its divisors is an integer number (128155860).

Almost surely, 2^12961200000 is an apocalyptic number.

12961200000 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 12961200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605925120).

12961200000 is an abundant number, since it is smaller than the sum of its proper divisors (36250650240).

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

12961200000 is an frugal number, since it uses more digits than its factorization.

12961200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12961200000 its reverse (216921), we get a palindrome (12961416921).

The spelling of 12961200000 in words is "twelve billion, nine hundred sixty-one million, two hundred thousand".