12702096000 has 864 divisors, whose sum is σ = 52066172340. Its totient is φ = 3079296000.

The previous prime is 12702095999. The next prime is 12702096037. The reversal of 12702096000 is 69020721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8586616896 + 4115479104 = 92664^2 + 64152^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12702096000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1154735995 + ... + 1154736005.

Almost surely, 2^12702096000 is an apocalyptic number.

12702096000 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 12702096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26033086170).

12702096000 is an abundant number, since it is smaller than the sum of its proper divisors (39364076340).

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

12702096000 is an frugal number, since it uses more digits than its factorization.

12702096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12702096000 in words is "twelve billion, seven hundred two million, ninety-six thousand".