12612358080 has 504 divisors, whose sum is σ = 52355508192. Its totient is φ = 2729521152.

The previous prime is 12612358027. The next prime is 12612358081. The reversal of 12612358080 is 8085321621.

It is a happy number.

12612358080 is a `hidden beast` number, since 1 + 2 + 612 + 35 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612358081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7276894 + ... + 7278626.

Almost surely, 2^12612358080 is an apocalyptic number.

12612358080 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 12612358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177754096).

12612358080 is an abundant number, since it is smaller than the sum of its proper divisors (39743150112).

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

12612358080 is a wasteful number, since it uses less digits than its factorization.

12612358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12612358080 in words is "twelve billion, six hundred twelve million, three hundred fifty-eight thousand, eighty".