12101040000 has 720 divisors, whose sum is σ = 50765406120. Its totient is φ = 2765952000.

The previous prime is 12101039963. The next prime is 12101040013. The reversal of 12101040000 is 4010121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1728719997 + ... + 1728720003.

Almost surely, 2^12101040000 is an apocalyptic number.

12101040000 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 12101040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25382703060).

12101040000 is an abundant number, since it is smaller than the sum of its proper divisors (38664366120).

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

12101040000 is an frugal number, since it uses more digits than its factorization.

12101040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12101040000 its reverse (4010121), we get a palindrome (12105050121).

The spelling of 12101040000 in words is "twelve billion, one hundred one million, forty thousand".