122142006 has 144 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 33230736.

The previous prime is 122141969. The next prime is 122142023. The reversal of 122142006 is 600241221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122142006.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 547611 + ... + 547833.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^122142006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122142006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

122142006 is an abundant number, since it is smaller than the sum of its proper divisors (212481738).

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

122142006 is a wasteful number, since it uses less digits than its factorization.

122142006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

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

The square root of 122142006 is about 11051.7874572397. The cubic root of 122142006 is about 496.1599244752.

Adding to 122142006 its reverse (600241221), we get a palindrome (722383227).

The spelling of 122142006 in words is "one hundred twenty-two million, one hundred forty-two thousand, six".