122131240 has 128 divisors (see below), whose sum is σ = 360806400. Its totient is φ = 36046080.

The previous prime is 122131237. The next prime is 122131249. The reversal of 122131240 is 42131221.

122131240 = T₃₄₀₀ + T₃₄₀₁ + ... + T₃₄₂₀.

It is not an unprimeable number, because it can be changed into a prime (122131249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57477 + ... + 59563.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 2^122131240 is an apocalyptic number.

122131240 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 122131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403200).

122131240 is an abundant number, since it is smaller than the sum of its proper divisors (238675160).

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

122131240 is a wasteful number, since it uses less digits than its factorization.

122131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122131240 is about 11051.3003759739. The cubic root of 122131240 is about 496.1453463218.

Adding to 122131240 its reverse (42131221), we get a palindrome (164262461).

The spelling of 122131240 in words is "one hundred twenty-two million, one hundred thirty-one thousand, two hundred forty".