12478554000 has 960 divisors, whose sum is σ = 52145233920. Its totient is φ = 2747520000.

The previous prime is 12478553977. The next prime is 12478554001. The reversal of 12478554000 is 45587421.

12478554000 is a `hidden beast` number, since 1 + 247 + 8 + 5 + 5 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12478554001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116621947 + ... + 116622053.

It is an arithmetic number, because the mean of its divisors is an integer number (54317952).

Almost surely, 2^12478554000 is an apocalyptic number.

12478554000 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 12478554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26072616960).

12478554000 is an abundant number, since it is smaller than the sum of its proper divisors (39666679920).

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

12478554000 is a wasteful number, since it uses less digits than its factorization.

12478554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 12478554000 in words is "twelve billion, four hundred seventy-eight million, five hundred fifty-four thousand".