120228218880 has 1152 divisors, whose sum is σ = 500949671040. Its totient is φ = 24332206080.

The previous prime is 120228218863. The next prime is 120228218881. The reversal of 120228218880 is 88812822021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (120228218881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 877578172 + ... + 877578308.

It is an arithmetic number, because the mean of its divisors is an integer number (434852145).

Almost surely, 2^120228218880 is an apocalyptic number.

120228218880 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 120228218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250474835520).

120228218880 is an abundant number, since it is smaller than the sum of its proper divisors (380721452160).

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

120228218880 is a wasteful number, since it uses less digits than its factorization.

120228218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The spelling of 120228218880 in words is "one hundred twenty billion, two hundred twenty-eight million, two hundred eighteen thousand, eight hundred eighty".