1346652686120 has 96 divisors (see below), whose sum is σ = 3525479332200. Its totient is φ = 461601810432.

The previous prime is 1346652686087. The next prime is 1346652686153. The reversal of 1346652686120 is 216862566431.

It is an interprime number because it is at equal distance from previous prime (1346652686087) and next prime (1346652686153).

It can be written as a sum of positive squares in 4 ways, for example, as 531268969924 + 815383716196 = 728882^2 + 902986^2 .

It is a super-2 number, since 2×1346652686120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8563724 + ... + 8719556.

Almost surely, 2^{1346652686120} is an apocalyptic number.

1346652686120 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 1346652686120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762739666100).

1346652686120 is an abundant number, since it is smaller than the sum of its proper divisors (2178826646080).

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

1346652686120 is a wasteful number, since it uses less digits than its factorization.

1346652686120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160267 (or 160256 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 1346652686120 in words is "one trillion, three hundred forty-six billion, six hundred fifty-two million, six hundred eighty-six thousand, one hundred twenty".