12700047360 has 1152 divisors, whose sum is σ = 56467756800. Its totient is φ = 2394685440.

The previous prime is 12700047337. The next prime is 12700047361. The reversal of 12700047360 is 6374000721.

It is a super-2 number, since 2×12700047360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12700047361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215255011 + ... + 215255069.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^12700047360 is an apocalyptic number.

12700047360 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 12700047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28233878400).

12700047360 is an abundant number, since it is smaller than the sum of its proper divisors (43767709440).

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

12700047360 is a wasteful number, since it uses less digits than its factorization.

12700047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 12700047360 in words is "twelve billion, seven hundred million, forty-seven thousand, three hundred sixty".