12114102132132 has 192 divisors, whose sum is σ = 37995180109824. Its totient is φ = 2901165672960.

The previous prime is 12114102132089. The next prime is 12114102132137. The reversal of 12114102132132 is 23123120141121.

It is a super-3 number, since 3×12114102132132³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114102132137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9959553 + ... + 11109495.

It is an arithmetic number, because the mean of its divisors is an integer number (197891563072).

Almost surely, 2^{12114102132132} is an apocalyptic number.

12114102132132 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 12114102132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997590054912).

12114102132132 is an abundant number, since it is smaller than the sum of its proper divisors (25881077977692).

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

12114102132132 is a wasteful number, since it uses less digits than its factorization.

12114102132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150858 (or 1150856 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12114102132132 its reverse (23123120141121), we get a palindrome (35237222273253).

The spelling of 12114102132132 in words is "twelve trillion, one hundred fourteen billion, one hundred two million, one hundred thirty-two thousand, one hundred thirty-two".