12461342120 has 64 divisors (see below), whose sum is σ = 28413504000. Its totient is φ = 4918025728.

The previous prime is 12461342111. The next prime is 12461342123. The reversal of 12461342120 is 2124316421.

It is a self number, because there is not a number n which added to its sum of digits gives 12461342120.

It is not an unprimeable number, because it can be changed into a prime (12461342123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787201 + ... + 1794159.

It is an arithmetic number, because the mean of its divisors is an integer number (443961000).

Almost surely, 2^12461342120 is an apocalyptic number.

12461342120 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 12461342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206752000).

12461342120 is an abundant number, since it is smaller than the sum of its proper divisors (15952161880).

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

12461342120 is a wasteful number, since it uses less digits than its factorization.

12461342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12461342120 its reverse (2124316421), we get a palindrome (14585658541).

The spelling of 12461342120 in words is "twelve billion, four hundred sixty-one million, three hundred forty-two thousand, one hundred twenty".