230820272349120 has 672 divisors, whose sum is σ = 843472784943360. Its totient is φ = 57735547453440.

The previous prime is 230820272349119. The next prime is 230820272349131. The reversal of 230820272349120 is 21943272028032.

230820272349120 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 20 + 272 + 349 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21798112786 + ... + 21798123374.

Almost surely, 2^{230820272349120} is an apocalyptic number.

230820272349120 is a gapful number since it is divisible by the number (20) 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 230820272349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421736392471680).

230820272349120 is an abundant number, since it is smaller than the sum of its proper divisors (612652512594240).

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

230820272349120 is a wasteful number, since it uses less digits than its factorization.

230820272349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 230820272349120 in words is "two hundred thirty trillion, eight hundred twenty billion, two hundred seventy-two million, three hundred forty-nine thousand, one hundred twenty".