412133051322 has 160 divisors (see below), whose sum is σ = 1022979767040. Its totient is φ = 123457582080.

The previous prime is 412133051311. The next prime is 412133051327. The reversal of 412133051322 is 223150331214.

412133051322 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 330 + 5 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412133051327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5268129 + ... + 5345787.

It is an arithmetic number, because the mean of its divisors is an integer number (6393623544).

Almost surely, 2^412133051322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412133051322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511489883520).

412133051322 is an abundant number, since it is smaller than the sum of its proper divisors (610846715718).

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

412133051322 is a wasteful number, since it uses less digits than its factorization.

412133051322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77778 (or 77769 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 412133051322 its reverse (223150331214), we get a palindrome (635283382536).

The spelling of 412133051322 in words is "four hundred twelve billion, one hundred thirty-three million, fifty-one thousand, three hundred twenty-two".