12114010000 has 100 divisors (see below), whose sum is σ = 29394575100. Its totient is φ = 4834816000.

The previous prime is 12114009961. The next prime is 12114010033. The reversal of 12114010000 is 1041121.

It can be written as a sum of positive squares in 10 ways, for example, as 11687339664 + 426670336 = 108108^2 + 20656^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×12114010000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5688936 + ... + 5691064.

It is an arithmetic number, because the mean of its divisors is an integer number (293945751).

Almost surely, 2^12114010000 is an apocalyptic number.

12114010000 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 12114010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697287550).

12114010000 is an abundant number, since it is smaller than the sum of its proper divisors (17280565100).

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

12114010000 is an equidigital number, since it uses as much as digits as its factorization.

12114010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12114010000 its reverse (1041121), we get a palindrome (12115051121).

The spelling of 12114010000 in words is "twelve billion, one hundred fourteen million, ten thousand".