601245120 has 448 divisors, whose sum is σ = 2440350720. Its totient is φ = 122093568.

The previous prime is 601245109. The next prime is 601245121. The reversal of 601245120 is 21542106.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×601245120² = 722991388647628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601245121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2170422 + ... + 2170698.

Almost surely, 2^601245120 is an apocalyptic number.

601245120 is a gapful number since it is divisible by the number (60) 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 601245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220175360).

601245120 is an abundant number, since it is smaller than the sum of its proper divisors (1839105600).

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

601245120 is a wasteful number, since it uses less digits than its factorization.

601245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 601245120 is about 24520.3001612949. The cubic root of 601245120 is about 844.0156926771.

Adding to 601245120 its reverse (21542106), we get a palindrome (622787226).

The spelling of 601245120 in words is "six hundred one million, two hundred forty-five thousand, one hundred twenty".