122821440 has 224 divisors, whose sum is σ = 455980800. Its totient is φ = 27998208.

The previous prime is 122821429. The next prime is 122821441. The reversal of 122821440 is 44128221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×122821440² = 30170212247347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122821440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122821441) 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 31 ways as a sum of consecutive naturals, for example, 329094 + ... + 329466.

Almost surely, 2^122821440 is an apocalyptic number.

122821440 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 122821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227990400).

122821440 is an abundant number, since it is smaller than the sum of its proper divisors (333159360).

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

122821440 is an equidigital number, since it uses as much as digits as its factorization.

122821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 122821440 is about 11082.4834761889. The cubic root of 122821440 is about 497.0782129108.

Adding to 122821440 its reverse (44128221), we get a palindrome (166949661).

The spelling of 122821440 in words is "one hundred twenty-two million, eight hundred twenty-one thousand, four hundred forty".