120567240 has 96 divisors (see below), whose sum is σ = 394243200. Its totient is φ = 31954560.

The previous prime is 120567203. The next prime is 120567241. The reversal of 120567240 is 42765021.

It is a super-2 number, since 2×120567240² = 29072918722435200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120567241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63505 + ... + 65375.

It is an arithmetic number, because the mean of its divisors is an integer number (4106700).

Almost surely, 2^120567240 is an apocalyptic number.

120567240 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 120567240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197121600).

120567240 is an abundant number, since it is smaller than the sum of its proper divisors (273675960).

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

120567240 is a wasteful number, since it uses less digits than its factorization.

120567240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120567240 is about 10980.3114709921. The cubic root of 120567240 is about 494.0183791181.

The spelling of 120567240 in words is "one hundred twenty million, five hundred sixty-seven thousand, two hundred forty".