230123201233002 has 192 divisors, whose sum is σ = 604308880506240. Its totient is φ = 57700784332800.

The previous prime is 230123201233001. The next prime is 230123201233043. The reversal of 230123201233002 is 200332102321032.

It is not an unprimeable number, because it can be changed into a prime (230123201233001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528829338 + ... + 529264314.

It is an arithmetic number, because the mean of its divisors is an integer number (3147442085970).

Almost surely, 2^{230123201233002} is an apocalyptic number.

230123201233002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230123201233002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302154440253120).

230123201233002 is an abundant number, since it is smaller than the sum of its proper divisors (374185679273238).

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

230123201233002 is a wasteful number, since it uses less digits than its factorization.

230123201233002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440677 (or 440670 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230123201233002 its reverse (200332102321032), we get a palindrome (430455303554034).

The spelling of 230123201233002 in words is "two hundred thirty trillion, one hundred twenty-three billion, two hundred one million, two hundred thirty-three thousand, two".