12471661800 has 384 divisors, whose sum is σ = 46747008000. Its totient is φ = 3037824000.

The previous prime is 12471661781. The next prime is 12471661831. The reversal of 12471661800 is 816617421.

It is a happy number.

12471661800 is a `hidden beast` number, since 1 + 2 + 471 + 6 + 6 + 180 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 7089321 + ... + 7091079.

It is an arithmetic number, because the mean of its divisors is an integer number (121737000).

Almost surely, 2^12471661800 is an apocalyptic number.

12471661800 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 12471661800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373504000).

12471661800 is an abundant number, since it is smaller than the sum of its proper divisors (34275346200).

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

12471661800 is a wasteful number, since it uses less digits than its factorization.

12471661800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12471661800 in words is "twelve billion, four hundred seventy-one million, six hundred sixty-one thousand, eight hundred".