12502005120 has 576 divisors, whose sum is σ = 49364274960. Its totient is φ = 2891243520.

The previous prime is 12502005107. The next prime is 12502005133. The reversal of 12502005120 is 2150020521.

It is an interprime number because it is at equal distance from previous prime (12502005107) and next prime (12502005133).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12502005093 and 12502005102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33517254 + ... + 33517626.

Almost surely, 2^12502005120 is an apocalyptic number.

12502005120 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 12502005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24682137480).

12502005120 is an abundant number, since it is smaller than the sum of its proper divisors (36862269840).

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

12502005120 is a wasteful number, since it uses less digits than its factorization.

12502005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 12502005120 its reverse (2150020521), we get a palindrome (14652025641).

It can be divided in two parts, 1250200 and 5120, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 12502005120 in words is "twelve billion, five hundred two million, five thousand, one hundred twenty".