120228735360 has 256 divisors, whose sum is σ = 410704680960. Its totient is φ = 29837795328.

The previous prime is 120228735283. The next prime is 120228735371. The reversal of 120228735360 is 63537822021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1597129 + ... + 1670711.

It is an arithmetic number, because the mean of its divisors is an integer number (1604315160).

Almost surely, 2^120228735360 is an apocalyptic number.

120228735360 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 120228735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205352340480).

120228735360 is an abundant number, since it is smaller than the sum of its proper divisors (290475945600).

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

120228735360 is a wasteful number, since it uses less digits than its factorization.

120228735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73665 (or 73653 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 120228735360 in words is "one hundred twenty billion, two hundred twenty-eight million, seven hundred thirty-five thousand, three hundred sixty".