114600120 has 64 divisors (see below), whose sum is σ = 345600000. Its totient is φ = 30400128.

The previous prime is 114600097. The next prime is 114600121. The reversal of 114600120 is 21006411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114600120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114600121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21481 + ... + 26279.

It is an arithmetic number, because the mean of its divisors is an integer number (5400000).

Almost surely, 2^114600120 is an apocalyptic number.

114600120 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 114600120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

114600120 is an abundant number, since it is smaller than the sum of its proper divisors (230999880).

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

114600120 is a wasteful number, since it uses less digits than its factorization.

114600120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5008 counting only the distinct ones).

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

The square root of 114600120 is about 10705.1445576414. The cubic root of 114600120 is about 485.7301080692.

Adding to 114600120 its reverse (21006411), we get a palindrome (135606531).

The spelling of 114600120 in words is "one hundred fourteen million, six hundred thousand, one hundred twenty".