412330120100 has 36 divisors (see below), whose sum is σ = 918938973204. Its totient is φ = 160474423680.

The previous prime is 412330120079. The next prime is 412330120109. The reversal of 412330120100 is 1021033214.

It can be written as a sum of positive squares in 6 ways, for example, as 71098624 + 412259021476 = 8432^2 + 642074^2 .

It is a super-2 number, since 2×412330120100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412330120109) 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 11 ways as a sum of consecutive naturals, for example, 55716587 + ... + 55723986.

It is an arithmetic number, because the mean of its divisors is an integer number (25526082589).

Almost surely, 2^412330120100 is an apocalyptic number.

It is an amenable number.

412330120100 is an abundant number, since it is smaller than the sum of its proper divisors (506608853104).

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

412330120100 is a wasteful number, since it uses less digits than its factorization.

412330120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111440624 (or 111440617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 412330120100 its reverse (1021033214), we get a palindrome (413351153314).

The spelling of 412330120100 in words is "four hundred twelve billion, three hundred thirty million, one hundred twenty thousand, one hundred".