412230013020 has 480 divisors, whose sum is σ = 1491527157120. Its totient is φ = 93361766400.

The previous prime is 412230013009. The next prime is 412230013031. The reversal of 412230013020 is 20310032214.

412230013020 is a `hidden beast` number, since 41 + 22 + 300 + 1 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412230013009) and next prime (412230013031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412230012984 and 412230013002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1028004820 + ... + 1028005220.

It is an arithmetic number, because the mean of its divisors is an integer number (3107348244).

Almost surely, 2^412230013020 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 412230013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745763578560).

412230013020 is an abundant number, since it is smaller than the sum of its proper divisors (1079297144100).

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

412230013020 is a wasteful number, since it uses less digits than its factorization.

412230013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 412230013020 its reverse (20310032214), we get a palindrome (432540045234).

The spelling of 412230013020 in words is "four hundred twelve billion, two hundred thirty million, thirteen thousand, twenty".