1230300264960 has 800 divisors, whose sum is σ = 4768626194640. Its totient is φ = 301369393152.

The previous prime is 1230300264959. The next prime is 1230300264971. The reversal of 1230300264960 is 694620030321.

1230300264960 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 0 + 0 + 2 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 754730037504 + 475570227456 = 868752^2 + 689616^2 .

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 79 ways as a sum of consecutive naturals, for example, 617309724 + ... + 617311716.

Almost surely, 2^{1230300264960} is an apocalyptic number.

1230300264960 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 1230300264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384313097320).

1230300264960 is an abundant number, since it is smaller than the sum of its proper divisors (3538325929680).

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

1230300264960 is a wasteful number, since it uses less digits than its factorization.

1230300264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1230300264960 in words is "one trillion, two hundred thirty billion, three hundred million, two hundred sixty-four thousand, nine hundred sixty".