12415120000 has 160 divisors (see below), whose sum is σ = 31068180000. Its totient is φ = 4940160000.

The previous prime is 12415119967. The next prime is 12415120007. The reversal of 12415120000 is 2151421.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×12415120000² (a number of 21 digits) contains 22 as substring.

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 (12415120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24879751 + ... + 24880249.

It is an arithmetic number, because the mean of its divisors is an integer number (194176125).

Almost surely, 2^12415120000 is an apocalyptic number.

12415120000 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 12415120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534090000).

12415120000 is an abundant number, since it is smaller than the sum of its proper divisors (18653060000).

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

12415120000 is an frugal number, since it uses more digits than its factorization.

12415120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 817 counting only the distinct ones).

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

Adding to 12415120000 its reverse (2151421), we get a palindrome (12417271421).

The spelling of 12415120000 in words is "twelve billion, four hundred fifteen million, one hundred twenty thousand".