12468420072 has 80 divisors (see below), whose sum is σ = 35198338560. Its totient is φ = 4123387296.

The previous prime is 12468420067. The next prime is 12468420089. The reversal of 12468420072 is 27002486421.

It is a super-2 number, since 2×12468420072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6543 + ... + 158049.

It is an arithmetic number, because the mean of its divisors is an integer number (439979232).

Almost surely, 2^12468420072 is an apocalyptic number.

12468420072 is a gapful number since it is divisible by the number (12) 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 12468420072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599169280).

12468420072 is an abundant number, since it is smaller than the sum of its proper divisors (22729918488).

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

12468420072 is a wasteful number, since it uses less digits than its factorization.

12468420072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151652 (or 151639 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12468420072 in words is "twelve billion, four hundred sixty-eight million, four hundred twenty thousand, seventy-two".