122873040 has 120 divisors (see below), whose sum is σ = 421544448. Its totient is φ = 32060160.

The previous prime is 122873033. The next prime is 122873053. The reversal of 122873040 is 40378221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 122872995 and 122873013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32025 + ... + 35655.

Almost surely, 2^122873040 is an apocalyptic number.

122873040 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 122873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210772224).

122873040 is an abundant number, since it is smaller than the sum of its proper divisors (298671408).

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

122873040 is a wasteful number, since it uses less digits than its factorization.

122873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122873040 is about 11084.8112297865. The cubic root of 122873040 is about 497.1478143439.

The spelling of 122873040 in words is "one hundred twenty-two million, eight hundred seventy-three thousand, forty".