122102112 has 96 divisors (see below), whose sum is σ = 357920640. Its totient is φ = 36126720.

The previous prime is 122102111. The next prime is 122102119. The reversal of 122102112 is 211201221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44064 + ... + 46752.

It is an arithmetic number, because the mean of its divisors is an integer number (3728340).

Almost surely, 2^122102112 is an apocalyptic number.

122102112 is a gapful number since it is divisible by the number (12) 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 122102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178960320).

122102112 is an abundant number, since it is smaller than the sum of its proper divisors (235818528).

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

122102112 is a wasteful number, since it uses less digits than its factorization.

122102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 122102112 is about 11049.9824434250. The cubic root of 122102112 is about 496.1059000379.

Adding to 122102112 its reverse (211201221), we get a palindrome (333303333).

The spelling of 122102112 in words is "one hundred twenty-two million, one hundred two thousand, one hundred twelve".