12134002210000 has 300 divisors, whose sum is σ = 32345442673236. Its totient is φ = 4404942080000.

The previous prime is 12134002209949. The next prime is 12134002210051. The reversal of 12134002210000 is 1220043121.

It is an interprime number because it is at equal distance from previous prime (12134002209949) and next prime (12134002210051).

It can be written as a sum of positive squares in 10 ways, for example, as 11124146042944 + 1009856167056 = 3335288^2 + 1004916^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 746561874 + ... + 746578126.

Almost surely, 2^{12134002210000} is an apocalyptic number.

12134002210000 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 12134002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172721336618).

12134002210000 is an abundant number, since it is smaller than the sum of its proper divisors (20211440463236).

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

12134002210000 is a wasteful number, since it uses less digits than its factorization.

12134002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16920 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12134002210000 its reverse (1220043121), we get a palindrome (12135222253121).

The spelling of 12134002210000 in words is "twelve trillion, one hundred thirty-four billion, two million, two hundred ten thousand".