23002120032 has 96 divisors (see below), whose sum is σ = 63778176000. Its totient is φ = 7247439360.

The previous prime is 23002120027. The next prime is 23002120049.

23002120032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23002119993 and 23002120020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38094 + ... + 217842.

It is an arithmetic number, because the mean of its divisors is an integer number (664356000).

Almost surely, 2^23002120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23002120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31889088000).

23002120032 is an abundant number, since it is smaller than the sum of its proper divisors (40776055968).

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

23002120032 is a wasteful number, since it uses less digits than its factorization.

23002120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179836 (or 179828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The spelling of 23002120032 in words is "twenty-three billion, two million, one hundred twenty thousand, thirty-two".