123420121344 has 243 divisors, whose sum is σ = 386015024577. Its totient is φ = 37907970048.

The previous prime is 123420121291. The next prime is 123420121351. The reversal of 123420121344 is 443121024321.

The square root of 123420121344 is 351312.

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

123420121344 is a `hidden beast` number, since 1 + 23 + 420 + 1 + 213 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18257414400 + 105162706944 = 135120^2 + 324288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 219218407 + ... + 219218969.

Almost surely, 2^123420121344 is an apocalyptic number.

123420121344 is the 351312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123420121344

123420121344 is an abundant number, since it is smaller than the sum of its proper divisors (262594903233).

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

123420121344 is an frugal number, since it uses more digits than its factorization.

123420121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123420121344 its reverse (443121024321), we get a palindrome (566541145665).

The spelling of 123420121344 in words is "one hundred twenty-three billion, four hundred twenty million, one hundred twenty-one thousand, three hundred forty-four".