412122100 has 72 divisors (see below), whose sum is σ = 979074488. Its totient is φ = 149644800.

The previous prime is 412122083. The next prime is 412122101. The reversal of 412122100 is 1221214.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 311240164 + 100881936 = 17642^2 + 10044^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76702 + ... + 81898.

Almost surely, 2^412122100 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 412122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489537244).

412122100 is an abundant number, since it is smaller than the sum of its proper divisors (566952388).

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

412122100 is a wasteful number, since it uses less digits than its factorization.

412122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 412122100 is about 20300.7906249978. The cubic root of 412122100 is about 744.1753859657.

Adding to 412122100 its reverse (1221214), we get a palindrome (413343314).

The spelling of 412122100 in words is "four hundred twelve million, one hundred twenty-two thousand, one hundred".