32160105120 has 576 divisors, whose sum is σ = 124951486464. Its totient is φ = 6879375360.

The previous prime is 32160105119. The next prime is 32160105121. The reversal of 32160105120 is 2150106123.

It is an interprime number because it is at equal distance from previous prime (32160105119) and next prime (32160105121).

It is a super-2 number, since 2×32160105120² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32160105121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20522577 + ... + 20524143.

It is an arithmetic number, because the mean of its divisors is an integer number (216929664).

Almost surely, 2^32160105120 is an apocalyptic number.

32160105120 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 32160105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62475743232).

32160105120 is an abundant number, since it is smaller than the sum of its proper divisors (92791381344).

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

32160105120 is a wasteful number, since it uses less digits than its factorization.

32160105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 32160105120 in words is "thirty-two billion, one hundred sixty million, one hundred five thousand, one hundred twenty".