123212464212321 has 81 divisors (see below), whose sum is σ = 201075973863219. Its totient is φ = 72648006472800.

The previous prime is 123212464212301. The next prime is 123212464212389.

The square root of 123212464212321 is 11100111.

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

123212464212321 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 2 + 4 + 642 + 1 + 2 + 3 + 2 + 1 = 666.

123212464212321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 110252205011025 + 12960259201296 = 10500105^2 + 3600036^2 .

It is not a de Polignac number, because 123212464212321 - 2⁵ = 123212464212289 is a prime.

It is a super-2 number, since 2×123212464212321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123212464212301) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13553230986 + ... + 13553240076.

Almost surely, 2^{123212464212321} is an apocalyptic number.

123212464212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123212464212321 is the 11100111-st square number.

123212464212321 is the 5550056-th centered octagonal number.

It is an amenable number.

123212464212321 is a deficient number, since it is larger than the sum of its proper divisors (77863509650898).

123212464212321 is an frugal number, since it uses more digits than its factorization.

123212464212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 9142 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

It can be divided in two parts, 12321 and 2464212321, that added together give a palindrome (2464224642).

The spelling of 123212464212321 in words is "one hundred twenty-three trillion, two hundred twelve billion, four hundred sixty-four million, two hundred twelve thousand, three hundred twenty-one".