23001200210032 has 160 divisors (see below), whose sum is σ = 49741337511360. Its totient is φ = 10216092303360.

The previous prime is 23001200209991. The next prime is 23001200210059.

23001200210032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23001200210032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23001200209988 and 23001200210015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895916748 + ... + 895942420.

It is an arithmetic number, because the mean of its divisors is an integer number (310883359446).

Almost surely, 2^{23001200210032} is an apocalyptic number.

23001200210032 is a gapful number since it is divisible by the number (22) 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 23001200210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24870668755680).

23001200210032 is an abundant number, since it is smaller than the sum of its proper divisors (26740137301328).

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

23001200210032 is a wasteful number, since it uses less digits than its factorization.

23001200210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26411 (or 26405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 23001200 and 210032, that added together give a palindrome (23211232).

The spelling of 23001200210032 in words is "twenty-three trillion, one billion, two hundred million, two hundred ten thousand, thirty-two".