122263040 has 80 divisors (see below), whose sum is σ = 295949808. Its totient is φ = 48439296.

The previous prime is 122263033. The next prime is 122263051. The reversal of 122263040 is 40362221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417134 + ... + 417426.

Almost surely, 2^122263040 is an apocalyptic number.

122263040 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 122263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147974904).

122263040 is an abundant number, since it is smaller than the sum of its proper divisors (173686768).

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

122263040 is an equidigital number, since it uses as much as digits as its factorization.

122263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 122263040 is about 11057.2618672075. The cubic root of 122263040 is about 496.3237567154.

The spelling of 122263040 in words is "one hundred twenty-two million, two hundred sixty-three thousand, forty".