601249365120 has 128 divisors (see below), whose sum is σ = 1917216218880. Its totient is φ = 160271769600.

The previous prime is 601249365061. The next prime is 601249365163. The reversal of 601249365120 is 21563942106.

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

It is a super-2 number, since 2×601249365120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5069700 + ... + 5186940.

It is an arithmetic number, because the mean of its divisors is an integer number (14978251710).

Almost surely, 2^601249365120 is an apocalyptic number.

601249365120 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 601249365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958608109440).

601249365120 is an abundant number, since it is smaller than the sum of its proper divisors (1315966853760).

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

601249365120 is a wasteful number, since it uses less digits than its factorization.

601249365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119934 (or 119922 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 601249365120 in words is "six hundred one billion, two hundred forty-nine million, three hundred sixty-five thousand, one hundred twenty".