1356579120120 has 256 divisors, whose sum is σ = 4678206382080. Its totient is φ = 308273817600.

The previous prime is 1356579120077. The next prime is 1356579120139. The reversal of 1356579120120 is 210219756531.

It is a happy number.

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, 153785310 + ... + 153794130.

It is an arithmetic number, because the mean of its divisors is an integer number (18274243680).

Almost surely, 2^{1356579120120} is an apocalyptic number.

1356579120120 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 1356579120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339103191040).

1356579120120 is an abundant number, since it is smaller than the sum of its proper divisors (3321627261960).

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

1356579120120 is a wasteful number, since it uses less digits than its factorization.

1356579120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9886 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 1356579120120 in words is "one trillion, three hundred fifty-six billion, five hundred seventy-nine million, one hundred twenty thousand, one hundred twenty".