402122112 has 128 divisors (see below), whose sum is σ = 1228243200. Its totient is φ = 114186240.

The previous prime is 402122057. The next prime is 402122117. The reversal of 402122112 is 211221204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 402122091 and 402122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566814 + ... + 567522.

It is an arithmetic number, because the mean of its divisors is an integer number (9595650).

Almost surely, 2^402122112 is an apocalyptic number.

402122112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614121600).

402122112 is an abundant number, since it is smaller than the sum of its proper divisors (826121088).

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

402122112 is a wasteful number, since it uses less digits than its factorization.

402122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 402122112 is about 20052.9826210467. The cubic root of 402122112 is about 738.1069901657.

Adding to 402122112 its reverse (211221204), we get a palindrome (613343316).

It can be divided in two parts, 40212 and 2112, that added together give a palindrome (42324).

The spelling of 402122112 in words is "four hundred two million, one hundred twenty-two thousand, one hundred twelve".