122040648 has 128 divisors (see below), whose sum is σ = 361152000. Its totient is φ = 38076480.

The previous prime is 122040619. The next prime is 122040649. The reversal of 122040648 is 846040221.

122040648 is a `hidden beast` number, since 12 + 2 + 0 + 4 + 0 + 648 = 666.

It is a super-3 number, since 3×122040648³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122040649) 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, 537511 + ... + 537737.

It is an arithmetic number, because the mean of its divisors is an integer number (2821500).

Almost surely, 2^122040648 is an apocalyptic number.

122040648 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 122040648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576000).

122040648 is an abundant number, since it is smaller than the sum of its proper divisors (239111352).

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

122040648 is a wasteful number, since it uses less digits than its factorization.

122040648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 122040648 is about 11047.2009124484. The cubic root of 122040648 is about 496.0226424801.

Adding to 122040648 its reverse (846040221), we get a palindrome (968080869).

The spelling of 122040648 in words is "one hundred twenty-two million, forty thousand, six hundred forty-eight".