12334401100 has 72 divisors (see below), whose sum is σ = 30661037568. Its totient is φ = 4219022400.

The previous prime is 12334401059. The next prime is 12334401181. The reversal of 12334401100 is 110443321.

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, 281259 + ... + 322141.

It is an arithmetic number, because the mean of its divisors is an integer number (425847744).

Almost surely, 2^12334401100 is an apocalyptic number.

12334401100 is a gapful number since it is divisible by the number (10) 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 12334401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330518784).

12334401100 is an abundant number, since it is smaller than the sum of its proper divisors (18326636468).

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

12334401100 is a wasteful number, since it uses less digits than its factorization.

12334401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41335 (or 41328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12334401100 its reverse (110443321), we get a palindrome (12444844421).

The spelling of 12334401100 in words is "twelve billion, three hundred thirty-four million, four hundred one thousand, one hundred".