120611040 has 192 divisors, whose sum is σ = 423263232. Its totient is φ = 28620800.

The previous prime is 120611021. The next prime is 120611041. The reversal of 120611040 is 40116021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120611041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279625 + ... + 280055.

It is an arithmetic number, because the mean of its divisors is an integer number (2204496).

Almost surely, 2^120611040 is an apocalyptic number.

120611040 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 120611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211631616).

120611040 is an abundant number, since it is smaller than the sum of its proper divisors (302652192).

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

120611040 is a wasteful number, since it uses less digits than its factorization.

120611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 120611040 is about 10982.3057688265. The cubic root of 120611040 is about 494.0781946625.

Adding to 120611040 its reverse (40116021), we get a palindrome (160727061).

It can be divided in two parts, 1206 and 11040, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 120611040 in words is "one hundred twenty million, six hundred eleven thousand, forty".