3600123120 has 240 divisors, whose sum is σ = 13249401984. Its totient is φ = 868800000.

The previous prime is 3600123073. The next prime is 3600123143. The reversal of 3600123120 is 213210063.

3600123120 is a `hidden beast` number, since 3 + 600 + 12 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3600123093 and 3600123102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987015 + ... + 1988825.

Almost surely, 2^3600123120 is an apocalyptic number.

3600123120 is a gapful number since it is divisible by the number (30) 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 3600123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624700992).

3600123120 is an abundant number, since it is smaller than the sum of its proper divisors (9649278864).

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

3600123120 is a wasteful number, since it uses less digits than its factorization.

3600123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3600123120 is about 60001.0259912279. The cubic root of 3600123120 is about 1532.6363364430.

Adding to 3600123120 its reverse (213210063), we get a palindrome (3813333183).

The spelling of 3600123120 in words is "three billion, six hundred million, one hundred twenty-three thousand, one hundred twenty".