12530001577140 has 36 divisors (see below), whose sum is σ = 38007671451204. Its totient is φ = 3341333753856.

The previous prime is 12530001577097. The next prime is 12530001577189. The reversal of 12530001577140 is 4177510003521.

12530001577140 is a `hidden beast` number, since 1 + 2 + 530 + 0 + 0 + 1 + 57 + 71 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1365167907216 + 11164833669924 = 1168404^2 + 3341382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12530001577095 and 12530001577104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34805559757 + ... + 34805560116.

Almost surely, 2^{12530001577140} is an apocalyptic number.

12530001577140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12530001577140 is an abundant number, since it is smaller than the sum of its proper divisors (25477669874064).

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

12530001577140 is a wasteful number, since it uses less digits than its factorization.

12530001577140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69611119888 (or 69611119883 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 12530001577140 in words is "twelve trillion, five hundred thirty billion, one million, five hundred seventy-seven thousand, one hundred forty".