1230847185600 has 672 divisors, whose sum is σ = 4654384392000. Its totient is φ = 316036546560.

The previous prime is 1230847185541. The next prime is 1230847185619. The reversal of 1230847185600 is 65817480321.

1230847185600 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 84 + 7 + 1 + 8 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542461266 + ... + 542463534.

It is an arithmetic number, because the mean of its divisors is an integer number (6926167250).

Almost surely, 2^{1230847185600} is an apocalyptic number.

1230847185600 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 1230847185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327192196000).

1230847185600 is an abundant number, since it is smaller than the sum of its proper divisors (3423537206400).

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

1230847185600 is a wasteful number, since it uses less digits than its factorization.

1230847185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1230847185600 in words is "one trillion, two hundred thirty billion, eight hundred forty-seven million, one hundred eighty-five thousand, six hundred".