122819382 has 128 divisors (see below), whose sum is σ = 336000000. Its totient is φ = 33149088.

The previous prime is 122819381. The next prime is 122819383. The reversal of 122819382 is 283918221.

It is an interprime number because it is at equal distance from previous prime (122819381) and next prime (122819383).

It is a super-3 number, since 3×122819382³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122819381) 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 63 ways as a sum of consecutive naturals, for example, 351744 + ... + 352092.

It is an arithmetic number, because the mean of its divisors is an integer number (2625000).

Almost surely, 2^122819382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122819382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000000).

122819382 is an abundant number, since it is smaller than the sum of its proper divisors (213180618).

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

122819382 is a wasteful number, since it uses less digits than its factorization.

122819382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 122819382 is about 11082.3906265751. The cubic root of 122819382 is about 497.0754365425.

It can be divided in two parts, 122819 and 382, that added together give a square (123201 = 351²).

The spelling of 122819382 in words is "one hundred twenty-two million, eight hundred nineteen thousand, three hundred eighty-two".