120040200 has 216 divisors, whose sum is σ = 469297530. Its totient is φ = 27417600.

The previous prime is 120040189. The next prime is 120040201. The reversal of 120040200 is 2040021.

It can be written as a sum of positive squares in 3 ways, for example, as 68459076 + 51581124 = 8274^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (120040201) 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 53 ways as a sum of consecutive naturals, for example, 87520 + ... + 88880.

Almost surely, 2^120040200 is an apocalyptic number.

120040200 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 120040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234648765).

120040200 is an abundant number, since it is smaller than the sum of its proper divisors (349257330).

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

120040200 is a wasteful number, since it uses less digits than its factorization.

120040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120040200 is about 10956.2858670263. The cubic root of 120040200 is about 493.2974874531.

Adding to 120040200 its reverse (2040021), we get a palindrome (122080221).

The spelling of 120040200 in words is "one hundred twenty million, forty thousand, two hundred".