1230112327680 has 768 divisors, whose sum is σ = 4497041203200. Its totient is φ = 318823464960.

The previous prime is 1230112327657. The next prime is 1230112327687. The reversal of 1230112327680 is 867232110321.

1230112327680 is a `hidden beast` number, since 1 + 2 + 301 + 1 + 2 + 3 + 276 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (1230112327687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1860986550 + ... + 1860987210.

It is an arithmetic number, because the mean of its divisors is an integer number (5855522400).

Almost surely, 2^{1230112327680} is an apocalyptic number.

1230112327680 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 1230112327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248520601600).

1230112327680 is an abundant number, since it is smaller than the sum of its proper divisors (3266928875520).

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

1230112327680 is a wasteful number, since it uses less digits than its factorization.

1230112327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1230112327680 in words is "one trillion, two hundred thirty billion, one hundred twelve million, three hundred twenty-seven thousand, six hundred eighty".