361228768180120 has 128 divisors (see below), whose sum is σ = 828437939078400. Its totient is φ = 141718785062400.

The previous prime is 361228768180109. The next prime is 361228768180171. The reversal of 361228768180120 is 21081867822163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833683155 + ... + 4833757885.

It is an arithmetic number, because the mean of its divisors is an integer number (6472171399050).

Almost surely, 2^{361228768180120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361228768180120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414218969539200).

361228768180120 is an abundant number, since it is smaller than the sum of its proper divisors (467209170898280).

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

361228768180120 is a wasteful number, since it uses less digits than its factorization.

361228768180120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80409 (or 80405 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 361228768180120 in words is "three hundred sixty-one trillion, two hundred twenty-eight billion, seven hundred sixty-eight million, one hundred eighty thousand, one hundred twenty".