12051456480 has 384 divisors, whose sum is σ = 49513282560. Its totient is φ = 2679920640.

The previous prime is 12051456457. The next prime is 12051456499. The reversal of 12051456480 is 8465415021.

It is a happy number.

12051456480 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 1 + 4 + 5 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1113495 + ... + 1124265.

It is an arithmetic number, because the mean of its divisors is an integer number (128940840).

Almost surely, 2^12051456480 is an apocalyptic number.

12051456480 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 12051456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756641280).

12051456480 is an abundant number, since it is smaller than the sum of its proper divisors (37461826080).

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

12051456480 is a wasteful number, since it uses less digits than its factorization.

12051456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10839 (or 10825 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12051456480 in words is "twelve billion, fifty-one million, four hundred fifty-six thousand, four hundred eighty".