12121204032 has 168 divisors, whose sum is σ = 39794541696. Its totient is φ = 3455529984.

The previous prime is 12121204019. The next prime is 12121204057. The reversal of 12121204032 is 23040212121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121203996 and 12121204014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960498 + ... + 1966670.

It is an arithmetic number, because the mean of its divisors is an integer number (236872272).

Almost surely, 2^12121204032 is an apocalyptic number.

12121204032 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 12121204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897270848).

12121204032 is an abundant number, since it is smaller than the sum of its proper divisors (27673337664).

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

12121204032 is a wasteful number, since it uses less digits than its factorization.

12121204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12121204032 its reverse (23040212121), we get a palindrome (35161416153).

It can be divided in two parts, 12121 and 204032, that added together give a triangular number (216153 = T₆₅₇).

The spelling of 12121204032 in words is "twelve billion, one hundred twenty-one million, two hundred four thousand, thirty-two".