16119120 has 80 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 4204032.

The previous prime is 16119119. The next prime is 16119121. The reversal of 16119120 is 2191161.

It is an interprime number because it is at equal distance from previous prime (16119119) and next prime (16119121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16119121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10566 + ... + 11994.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^16119120 is an apocalyptic number.

16119120 is a gapful number since it is divisible by the number (10) 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 16119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

16119120 is an abundant number, since it is smaller than the sum of its proper divisors (34949040).

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

16119120 is a wasteful number, since it uses less digits than its factorization.

16119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 16119120 is about 4014.8623886754. The cubic root of 16119120 is about 252.6080052930.

It can be divided in two parts, 1611 and 9120, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 16119120 in words is "sixteen million, one hundred nineteen thousand, one hundred twenty".