12501248114040 has 512 divisors, whose sum is σ = 45791166136320. Its totient is φ = 2665185804288.

The previous prime is 12501248114011. The next prime is 12501248114041. The reversal of 12501248114040 is 4041184210521.

It is a junction number, because it is equal to n+sod(n) for n = 12501248113992 and 12501248114010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12501248114041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1873404144 + ... + 1873410816.

It is an arithmetic number, because the mean of its divisors is an integer number (89435871360).

Almost surely, 2^{12501248114040} is an apocalyptic number.

12501248114040 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 12501248114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895583068160).

12501248114040 is an abundant number, since it is smaller than the sum of its proper divisors (33289918022280).

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

12501248114040 is a wasteful number, since it uses less digits than its factorization.

12501248114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7871 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 12501248114040 in words is "twelve trillion, five hundred one billion, two hundred forty-eight million, one hundred fourteen thousand, forty".