122331456 has 252 divisors, whose sum is σ = 413139636. Its totient is φ = 34283520.

The previous prime is 122331449. The next prime is 122331467. The reversal of 122331456 is 654133221.

It can be written as a sum of positive squares in 2 ways, for example, as 55353600 + 66977856 = 7440^2 + 8184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3946161 + ... + 3946191.

It is an arithmetic number, because the mean of its divisors is an integer number (1639443).

Almost surely, 2^122331456 is an apocalyptic number.

122331456 is a gapful number since it is divisible by the number (16) 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 122331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206569818).

122331456 is an abundant number, since it is smaller than the sum of its proper divisors (290808180).

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

122331456 is a wasteful number, since it uses less digits than its factorization.

122331456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 122331456 is about 11060.3551480050. The cubic root of 122331456 is about 496.4163171335.

Adding to 122331456 its reverse (654133221), we get a palindrome (776464677).

It can be divided in two parts, 12233 and 1456, that added together give a square (13689 = 117²).

The spelling of 122331456 in words is "one hundred twenty-two million, three hundred thirty-one thousand, four hundred fifty-six".