122581213456 has 45 divisors (see below), whose sum is σ = 257213950479. Its totient is φ = 56567541888.

The previous prime is 122581213427. The next prime is 122581213457. The reversal of 122581213456 is 654312185221.

It is a happy number.

The square root of 122581213456 is 350116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12250947856 + 110330265600 = 110684^2 + 332160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122581213457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18202666 + ... + 18209398.

Almost surely, 2^122581213456 is an apocalyptic number.

122581213456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122581213456 is the 350116-th square number.

It is an amenable number.

122581213456 is an abundant number, since it is smaller than the sum of its proper divisors (134632737023).

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

122581213456 is an frugal number, since it uses more digits than its factorization.

With its predecessor (122581213455) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (13500).

122581213456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500 (or 6748 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

Adding to 122581213456 its reverse (654312185221), we get a palindrome (776893398677).

The spelling of 122581213456 in words is "one hundred twenty-two billion, five hundred eighty-one million, two hundred thirteen thousand, four hundred fifty-six".