412000122132 has 36 divisors (see below), whose sum is σ = 1069591912116. Its totient is φ = 133621660800.

The previous prime is 412000122109. The next prime is 412000122133. The reversal of 412000122132 is 231221000214.

It is a happy number.

412000122132 is a `hidden beast` number, since 412 + 0 + 0 + 0 + 1 + 221 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224187098256 + 187813023876 = 473484^2 + 433374^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412000122133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154653369 + ... + 154656032.

Almost surely, 2^412000122132 is an apocalyptic number.

It is an amenable number.

412000122132 is an abundant number, since it is smaller than the sum of its proper divisors (657591789984).

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

412000122132 is a wasteful number, since it uses less digits than its factorization.

412000122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309309448 (or 309309443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 412000122132 its reverse (231221000214), we get a palindrome (643221122346).

The spelling of 412000122132 in words is "four hundred twelve billion, one hundred twenty-two thousand, one hundred thirty-two".