1206720013680 has 80 divisors (see below), whose sum is σ = 4156480054560. Its totient is φ = 321792003072.

The previous prime is 1206720013663. The next prime is 1206720013687. The reversal of 1206720013680 is 863100276021.

It is a tau number, because it is divible by the number of its divisors (80).

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 (1206720013687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279331177 + ... + 279335496.

It is an arithmetic number, because the mean of its divisors is an integer number (51956000682).

Almost surely, 2^{1206720013680} is an apocalyptic number.

1206720013680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1206720013680 is an abundant number, since it is smaller than the sum of its proper divisors (2949760040880).

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

1206720013680 is a wasteful number, since it uses less digits than its factorization.

1206720013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558666695 (or 558666683 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1206720013680 in words is "one trillion, two hundred six billion, seven hundred twenty million, thirteen thousand, six hundred eighty".