230001200022000 has 320 divisors, whose sum is σ = 813404426784768. Its totient is φ = 55449809280000.

The previous prime is 230001200021977. The next prime is 230001200022073. The reversal of 230001200022000 is 220002100032.

230001200022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×230001200022000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319297 + ... + 21572703.

Almost surely, 2^{230001200022000} is an apocalyptic number.

230001200022000 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 230001200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406702213392384).

230001200022000 is an abundant number, since it is smaller than the sum of its proper divisors (583403226762768).

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

230001200022000 is a wasteful number, since it uses less digits than its factorization.

230001200022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19253625 (or 19253609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 230001200022000 its reverse (220002100032), we get a palindrome (230221202122032).

The spelling of 230001200022000 in words is "two hundred thirty trillion, one billion, two hundred million, twenty-two thousand".