12701877720 has 256 divisors, whose sum is σ = 46105113600. Its totient is φ = 2734663680.

The previous prime is 12701877689. The next prime is 12701877731. The reversal of 12701877720 is 2777810721.

It is a super-2 number, since 2×12701877720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2886562 + ... + 2890958.

It is an arithmetic number, because the mean of its divisors is an integer number (180098100).

Almost surely, 2^12701877720 is an apocalyptic number.

12701877720 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 12701877720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052556800).

12701877720 is an abundant number, since it is smaller than the sum of its proper divisors (33403235880).

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

12701877720 is a wasteful number, since it uses less digits than its factorization.

12701877720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 42.

The spelling of 12701877720 in words is "twelve billion, seven hundred one million, eight hundred seventy-seven thousand, seven hundred twenty".