412302010011100 has 144 divisors (see below), whose sum is σ = 982458854608896. Its totient is φ = 148941078624000.

The previous prime is 412302010011091. The next prime is 412302010011103. The reversal of 412302010011100 is 1110010203214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412302010011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811954285 + ... + 812461915.

It is an arithmetic number, because the mean of its divisors is an integer number (6822630934784).

Almost surely, 2^{412302010011100} 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 412302010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491229427304448).

412302010011100 is an abundant number, since it is smaller than the sum of its proper divisors (570156844597796).

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

412302010011100 is a wasteful number, since it uses less digits than its factorization.

412302010011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512516 (or 512509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 412302010011100 its reverse (1110010203214), we get a palindrome (413412020214314).

The spelling of 412302010011100 in words is "four hundred twelve trillion, three hundred two billion, ten million, eleven thousand, one hundred".