122951440 has 20 divisors (see below), whose sum is σ = 285862284. Its totient is φ = 49180544.

The previous prime is 122951401. The next prime is 122951449. The reversal of 122951440 is 44159221.

It can be written as a sum of positive squares in 2 ways, for example, as 91546624 + 31404816 = 9568^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 122951399 and 122951408.

It is not an unprimeable number, because it can be changed into a prime (122951449) 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 3 ways as a sum of consecutive naturals, for example, 768367 + ... + 768526.

Almost surely, 2^122951440 is an apocalyptic number.

122951440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122951440 is an abundant number, since it is smaller than the sum of its proper divisors (162910844).

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

122951440 is a wasteful number, since it uses less digits than its factorization.

122951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536906 (or 1536900 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 122951440 is about 11088.3470364162. The cubic root of 122951440 is about 497.2535280732.

The spelling of 122951440 in words is "one hundred twenty-two million, nine hundred fifty-one thousand, four hundred forty".