412332332100 has 288 divisors, whose sum is σ = 1343540674560. Its totient is φ = 96874652160.

The previous prime is 412332332089. The next prime is 412332332107. The reversal of 412332332100 is 1233233214.

It is a super-4 number, since 4×412332332100⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (412332332107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43679181 + ... + 43688619.

Almost surely, 2^412332332100 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 412332332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671770337280).

412332332100 is an abundant number, since it is smaller than the sum of its proper divisors (931208342460).

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

412332332100 is a wasteful number, since it uses less digits than its factorization.

412332332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 412332332100 its reverse (1233233214), we get a palindrome (413565565314).

The spelling of 412332332100 in words is "four hundred twelve billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred".