240129120 has 384 divisors, whose sum is σ = 966712320. Its totient is φ = 48660480.

The previous prime is 240129103. The next prime is 240129137. The reversal of 240129120 is 21921042.

It is an interprime number because it is at equal distance from previous prime (240129103) and next prime (240129137).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2698036 + ... + 2698124.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2^240129120 is an apocalyptic number.

240129120 is a gapful number since it is divisible by the number (20) 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 240129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483356160).

240129120 is an abundant number, since it is smaller than the sum of its proper divisors (726583200).

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

240129120 is a wasteful number, since it uses less digits than its factorization.

240129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 240129120 is about 15496.1001545550. The cubic root of 240129120 is about 621.5579272833.

The spelling of 240129120 in words is "two hundred forty million, one hundred twenty-nine thousand, one hundred twenty".