122101404040 has 128 divisors (see below), whose sum is σ = 344143365120. Its totient is φ = 37877011200.

The previous prime is 122101404037. The next prime is 122101404041. The reversal of 122101404040 is 40404101221.

It is a junction number, because it is equal to n+sod(n) for n = 122101403999 and 122101404017.

It is not an unprimeable number, because it can be changed into a prime (122101404041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555939 + ... + 743821.

It is an arithmetic number, because the mean of its divisors is an integer number (2688620040).

Almost surely, 2^122101404040 is an apocalyptic number.

122101404040 is a gapful number since it is divisible by the number (10) 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 122101404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172071682560).

122101404040 is an abundant number, since it is smaller than the sum of its proper divisors (222041961080).

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

122101404040 is a wasteful number, since it uses less digits than its factorization.

122101404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188123 (or 188119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122101404040 its reverse (40404101221), we get a palindrome (162505505261).

The spelling of 122101404040 in words is "one hundred twenty-two billion, one hundred one million, four hundred four thousand, forty".