120214080 has 336 divisors, whose sum is σ = 484997760. Its totient is φ = 26763264.

The previous prime is 120214079. The next prime is 120214099. The reversal of 120214080 is 80412021.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 1350676 + ... + 1350764.

Almost surely, 2^120214080 is an apocalyptic number.

120214080 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 120214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

120214080 is an abundant number, since it is smaller than the sum of its proper divisors (364783680).

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

120214080 is a wasteful number, since it uses less digits than its factorization.

120214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120214080 is about 10964.2181663810. The cubic root of 120214080 is about 493.5355554369.

The spelling of 120214080 in words is "one hundred twenty million, two hundred fourteen thousand, eighty".