120228181916960 has 384 divisors, whose sum is σ = 315987775488000. Its totient is φ = 42940587884544.

The previous prime is 120228181916951. The next prime is 120228181917001. The reversal of 120228181916960 is 69619181822021.

It is a junction number, because it is equal to n+sod(n) for n = 120228181916896 and 120228181916905.

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, 30307076897 + ... + 30307080863.

It is an arithmetic number, because the mean of its divisors is an integer number (822884832000).

Almost surely, 2^{120228181916960} is an apocalyptic number.

120228181916960 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 120228181916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157993887744000).

120228181916960 is an abundant number, since it is smaller than the sum of its proper divisors (195759593571040).

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

120228181916960 is a wasteful number, since it uses less digits than its factorization.

120228181916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 56.

The spelling of 120228181916960 in words is "one hundred twenty trillion, two hundred twenty-eight billion, one hundred eighty-one million, nine hundred sixteen thousand, nine hundred sixty".