122163040 has 48 divisors (see below), whose sum is σ = 293524560. Its totient is φ = 48033280.

The previous prime is 122163023. The next prime is 122163073. The reversal of 122163040 is 40361221.

It is a junction number, because it is equal to n+sod(n) for n = 122162999 and 122163017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2970 + ... + 15910.

It is an arithmetic number, because the mean of its divisors is an integer number (6115095).

Almost surely, 2^122163040 is an apocalyptic number.

122163040 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 122163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146762280).

122163040 is an abundant number, since it is smaller than the sum of its proper divisors (171361520).

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

122163040 is a wasteful number, since it uses less digits than its factorization.

122163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 122163040 is about 11052.7390270466. The cubic root of 122163040 is about 496.1884039726.

It can be divided in two parts, 1221 and 63040, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 122163040 in words is "one hundred twenty-two million, one hundred sixty-three thousand, forty".