12140106537660 has 192 divisors, whose sum is σ = 36116433819648. Its totient is φ = 3036399353856.

The previous prime is 12140106537649. The next prime is 12140106537661. The reversal of 12140106537660 is 6673560104121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140106537661) 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, 361113172 + ... + 361146788.

It is an arithmetic number, because the mean of its divisors is an integer number (188106426144).

Almost surely, 2^{12140106537660} is an apocalyptic number.

12140106537660 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 12140106537660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058216909824).

12140106537660 is an abundant number, since it is smaller than the sum of its proper divisors (23976327281988).

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

12140106537660 is a wasteful number, since it uses less digits than its factorization.

12140106537660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34860 (or 34858 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 12140106537660 in words is "twelve trillion, one hundred forty billion, one hundred six million, five hundred thirty-seven thousand, six hundred sixty".