412120020 has 144 divisors (see below), whose sum is σ = 1265423040. Its totient is φ = 100159488.

The previous prime is 412119991. The next prime is 412120021. The reversal of 412120020 is 20021214.

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 = 412119978 and 412120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412120021) 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 47 ways as a sum of consecutive naturals, for example, 983371 + ... + 983789.

It is an arithmetic number, because the mean of its divisors is an integer number (8787660).

Almost surely, 2^412120020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632711520).

412120020 is an abundant number, since it is smaller than the sum of its proper divisors (853303020).

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

412120020 is a wasteful number, since it uses less digits than its factorization.

412120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

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

The square root of 412120020 is about 20300.7393954013. The cubic root of 412120020 is about 744.1741340007.

Adding to 412120020 its reverse (20021214), we get a palindrome (432141234).

The spelling of 412120020 in words is "four hundred twelve million, one hundred twenty thousand, twenty".