120301120 has 56 divisors (see below), whose sum is σ = 289179000. Its totient is φ = 47665152.

The previous prime is 120301117. The next prime is 120301133. The reversal of 120301120 is 21103021.

It can be written as a sum of positive squares in 4 ways, for example, as 529984 + 119771136 = 728^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120301097 and 120301106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33156 + ... + 36604.

Almost surely, 2^120301120 is an apocalyptic number.

120301120 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 120301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144589500).

120301120 is an abundant number, since it is smaller than the sum of its proper divisors (168877880).

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

120301120 is a wasteful number, since it uses less digits than its factorization.

120301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120301120 is about 10968.1867234288. The cubic root of 120301120 is about 493.6546401323.

Adding to 120301120 its reverse (21103021), we get a palindrome (141404141).

The spelling of 120301120 in words is "one hundred twenty million, three hundred one thousand, one hundred twenty".