122118672 has 160 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 35412480.

The previous prime is 122118637. The next prime is 122118677. The reversal of 122118672 is 276811221.

It is not an unprimeable number, because it can be changed into a prime (122118677) 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 31 ways as a sum of consecutive naturals, for example, 1141243 + ... + 1141349.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^122118672 is an apocalyptic number.

122118672 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 122118672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

122118672 is an abundant number, since it is smaller than the sum of its proper divisors (237858288).

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

122118672 is a wasteful number, since it uses less digits than its factorization.

122118672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 122118672 is about 11050.7317404776. The cubic root of 122118672 is about 496.1283270109.

Adding to 122118672 its reverse (276811221), we get a palindrome (398929893).

The spelling of 122118672 in words is "one hundred twenty-two million, one hundred eighteen thousand, six hundred seventy-two".