122244768 has 96 divisors (see below), whose sum is σ = 359291520. Its totient is φ = 40435200.

The previous prime is 122244763. The next prime is 122244799. The reversal of 122244768 is 867442221.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (122244763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129996 + ... + 130932.

It is an arithmetic number, because the mean of its divisors is an integer number (3742620).

Almost surely, 2^122244768 is an apocalyptic number.

122244768 is a gapful number since it is divisible by the number (18) 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 122244768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179645760).

122244768 is an abundant number, since it is smaller than the sum of its proper divisors (237046752).

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

122244768 is a wasteful number, since it uses less digits than its factorization.

122244768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1093 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 122244768 is about 11056.4355919980. The cubic root of 122244768 is about 496.2990305744.

Adding to 122244768 its reverse (867442221), we get a palindrome (989686989).

The spelling of 122244768 in words is "one hundred twenty-two million, two hundred forty-four thousand, seven hundred sixty-eight".