23001012000 has 288 divisors, whose sum is σ = 85182814080. Its totient is φ = 5866713600.

The previous prime is 23001011987. The next prime is 23001012007. The reversal of 23001012000 is 21010032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (23001012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814111 + ... + 841889.

It is an arithmetic number, because the mean of its divisors is an integer number (295773660).

Almost surely, 2^23001012000 is an apocalyptic number.

23001012000 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 23001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42591407040).

23001012000 is an abundant number, since it is smaller than the sum of its proper divisors (62181802080).

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

23001012000 is a wasteful number, since it uses less digits than its factorization.

23001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27833 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 23001012000 its reverse (21010032), we get a palindrome (23022022032).

The spelling of 23001012000 in words is "twenty-three billion, one million, twelve thousand".