12101200032 has 96 divisors (see below), whose sum is σ = 33750343872. Its totient is φ = 3783348224.

The previous prime is 12101200031. The next prime is 12101200043. The reversal of 12101200032 is 23000210121.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 12101199990 and 12101200017.

It is not an unprimeable number, because it can be changed into a prime (12101200031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465523 + ... + 490829.

It is an arithmetic number, because the mean of its divisors is an integer number (351566082).

Almost surely, 2^12101200032 is an apocalyptic number.

12101200032 is a gapful number since it is divisible by the number (12) 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 12101200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875171936).

12101200032 is an abundant number, since it is smaller than the sum of its proper divisors (21649143840).

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

12101200032 is a wasteful number, since it uses less digits than its factorization.

12101200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25630 (or 25622 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12101200032 its reverse (23000210121), we get a palindrome (35101410153).

The spelling of 12101200032 in words is "twelve billion, one hundred one million, two hundred thousand, thirty-two".