12451934880 has 864 divisors, whose sum is σ = 55015728768. Its totient is φ = 2535321600.

The previous prime is 12451934849. The next prime is 12451934881. The reversal of 12451934880 is 8843915421.

12451934880 is a `hidden beast` number, since 1 + 24 + 519 + 34 + 8 + 80 = 666.

It is a super-2 number, since 2×12451934880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12451934881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47345629 + ... + 47345891.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 2^12451934880 is an apocalyptic number.

12451934880 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 12451934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27507864384).

12451934880 is an abundant number, since it is smaller than the sum of its proper divisors (42563793888).

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

12451934880 is a wasteful number, since it uses less digits than its factorization.

12451934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12451934880 in words is "twelve billion, four hundred fifty-one million, nine hundred thirty-four thousand, eight hundred eighty".