120101333120 has 128 divisors (see below), whose sum is σ = 297987206400. Its totient is φ = 46232596480.

The previous prime is 120101333101. The next prime is 120101333129. The reversal of 120101333120 is 21333101021.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (120101333129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761757 + ... + 5782563.

It is an arithmetic number, because the mean of its divisors is an integer number (2328025050).

Almost surely, 2^120101333120 is an apocalyptic number.

120101333120 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 120101333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148993603200).

120101333120 is an abundant number, since it is smaller than the sum of its proper divisors (177885873280).

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

120101333120 is a wasteful number, since it uses less digits than its factorization.

120101333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21166 (or 21154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 120101333120 its reverse (21333101021), we get a palindrome (141434434141).

The spelling of 120101333120 in words is "one hundred twenty billion, one hundred one million, three hundred thirty-three thousand, one hundred twenty".