412200120 has 64 divisors (see below), whose sum is σ = 1245676320. Its totient is φ = 109113344.

The previous prime is 412200083. The next prime is 412200127. The reversal of 412200120 is 21002214.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 412200096 and 412200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412200127) 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, 3904 + ... + 28976.

Almost surely, 2^412200120 is an apocalyptic number.

412200120 is a gapful number since it is divisible by the number (40) 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 412200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622838160).

412200120 is an abundant number, since it is smaller than the sum of its proper divisors (833476200).

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

412200120 is a wasteful number, since it uses less digits than its factorization.

412200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25224 (or 25220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 412200120 is about 20302.7121340968. The cubic root of 412200120 is about 744.2223436514. Note that the first 3 decimals are identical.

Adding to 412200120 its reverse (21002214), we get a palindrome (433202334).

The spelling of 412200120 in words is "four hundred twelve million, two hundred thousand, one hundred twenty".