6120165885120 has 1120 divisors, whose sum is σ = 25202721865728. Its totient is φ = 1386610348032.

The previous prime is 6120165885103. The next prime is 6120165885131. The reversal of 6120165885120 is 215885610216.

6120165885120 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 16 + 588 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×6120165885120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5599419294 + ... + 5599420386.

Almost surely, 2^{6120165885120} is an apocalyptic number.

6120165885120 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 6120165885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601360932864).

6120165885120 is an abundant number, since it is smaller than the sum of its proper divisors (19082555980608).

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

6120165885120 is an equidigital number, since it uses as much as digits as its factorization.

6120165885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 6120165885120 in words is "six trillion, one hundred twenty billion, one hundred sixty-five million, eight hundred eighty-five thousand, one hundred twenty".