230321211120 has 1440 divisors, whose sum is σ = 1073640282624. Its totient is φ = 43487539200.

The previous prime is 230321211103. The next prime is 230321211121. The reversal of 230321211120 is 21112123032.

230321211120 is a `hidden beast` number, since 230 + 321 + 2 + 1 + 112 + 0 = 666.

It is a super-2 number, since 2×230321211120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230321211093 and 230321211102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230321211121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 358197519 + ... + 358198161.

Almost surely, 2^230321211120 is an apocalyptic number.

230321211120 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 230321211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536820141312).

230321211120 is an abundant number, since it is smaller than the sum of its proper divisors (843319071504).

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

230321211120 is a wasteful number, since it uses less digits than its factorization.

230321211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230321211120 its reverse (21112123032), we get a palindrome (251433334152).

The spelling of 230321211120 in words is "two hundred thirty billion, three hundred twenty-one million, two hundred eleven thousand, one hundred twenty".