12601015667140 has 96 divisors (see below), whose sum is σ = 27807858739584. Its totient is φ = 4791005936640.

The previous prime is 12601015667089. The next prime is 12601015667143. The reversal of 12601015667140 is 4176651010621.

It is a junction number, because it is equal to n+sod(n) for n = 12601015667093 and 12601015667102.

It is not an unprimeable number, because it can be changed into a prime (12601015667143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13548127 + ... + 14448313.

It is an arithmetic number, because the mean of its divisors is an integer number (289665195204).

Almost surely, 2^{12601015667140} is an apocalyptic number.

12601015667140 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 12601015667140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903929369792).

12601015667140 is an abundant number, since it is smaller than the sum of its proper divisors (15206843072444).

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

12601015667140 is a wasteful number, since it uses less digits than its factorization.

12601015667140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900677 (or 900675 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

Adding to 12601015667140 its reverse (4176651010621), we get a palindrome (16777666677761).

The spelling of 12601015667140 in words is "twelve trillion, six hundred one billion, fifteen million, six hundred sixty-seven thousand, one hundred forty".