412332120 has 192 divisors, whose sum is σ = 1415232000. Its totient is φ = 107941248.

The previous prime is 412332101. The next prime is 412332143. The reversal of 412332120 is 21233214.

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 = 412332093 and 412332102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573121 + ... + 573839.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^412332120 is an apocalyptic number.

412332120 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 412332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

412332120 is an abundant number, since it is smaller than the sum of its proper divisors (1002899880).

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

412332120 is a wasteful number, since it uses less digits than its factorization.

412332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 788 counting only the distinct ones).

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

The square root of 412332120 is about 20305.9626710974. The cubic root of 412332120 is about 744.3017766422.

Adding to 412332120 its reverse (21233214), we get a palindrome (433565334).

The spelling of 412332120 in words is "four hundred twelve million, three hundred thirty-two thousand, one hundred twenty".