12670125129060 has 384 divisors, whose sum is σ = 43182817542144. Its totient is φ = 2709601320960.

The previous prime is 12670125129001. The next prime is 12670125129091. The reversal of 12670125129060 is 6092152107621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3536176029 + ... + 3536179611.

It is an arithmetic number, because the mean of its divisors is an integer number (112455254016).

Almost surely, 2^{12670125129060} is an apocalyptic number.

12670125129060 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 12670125129060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591408771072).

12670125129060 is an abundant number, since it is smaller than the sum of its proper divisors (30512692413084).

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

12670125129060 is a wasteful number, since it uses less digits than its factorization.

12670125129060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 12670125129060 in words is "twelve trillion, six hundred seventy billion, one hundred twenty-five million, one hundred twenty-nine thousand, sixty".