120271840 has 96 divisors (see below), whose sum is σ = 312058656. Its totient is φ = 43530240.

The previous prime is 120271831. The next prime is 120271861. The reversal of 120271840 is 48172021.

It is a happy number.

It is a super-3 number, since 3×120271840³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109695 + ... + 110785.

It is an arithmetic number, because the mean of its divisors is an integer number (3250611).

Almost surely, 2^120271840 is an apocalyptic number.

120271840 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 120271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

120271840 is an abundant number, since it is smaller than the sum of its proper divisors (191786816).

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

120271840 is a wasteful number, since it uses less digits than its factorization.

120271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 120271840 is about 10966.8518728029. The cubic root of 120271840 is about 493.6145868042.

The spelling of 120271840 in words is "one hundred twenty million, two hundred seventy-one thousand, eight hundred forty".