123622560000 has 405 divisors, whose sum is σ = 446925648169. Its totient is φ = 32853504000.

The previous prime is 123622559959. The next prime is 123622560001. The reversal of 123622560000 is 65226321.

The square root of 123622560000 is 351600.

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

123622560000 is a `hidden beast` number, since 1 + 2 + 36 + 2 + 25 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 30309417216 + 93313142784 = 174096^2 + 305472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123622560001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 421919854 + ... + 421920146.

Almost surely, 2^123622560000 is an apocalyptic number.

123622560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123622560000 is the 351600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123622560000

123622560000 is an abundant number, since it is smaller than the sum of its proper divisors (323303088169).

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

123622560000 is an frugal number, since it uses more digits than its factorization.

123622560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 303 counting only the distinct ones).

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

Adding to 123622560000 its reverse (65226321), we get a palindrome (123687786321).

The spelling of 123622560000 in words is "one hundred twenty-three billion, six hundred twenty-two million, five hundred sixty thousand".