123820366051600 has 45 divisors (see below), whose sum is σ = 297478964114383. Its totient is φ = 49528057400960.

The previous prime is 123820366051541. The next prime is 123820366051631. The reversal of 123820366051600 is 6150663028321.

The square root of 123820366051600 is 11127460.

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 736074770704 + 123084291280896 = 857948^2 + 11094336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222271014 + ... + 222827386.

Almost surely, 2^{123820366051600} is an apocalyptic number.

123820366051600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123820366051600 is the 11127460-th square number.

It is an amenable number.

123820366051600 is an abundant number, since it is smaller than the sum of its proper divisors (173658598062783).

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

123820366051600 is an frugal number, since it uses more digits than its factorization.

123820366051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112764 (or 556380 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 123820366051600 in words is "one hundred twenty-three trillion, eight hundred twenty billion, three hundred sixty-six million, fifty-one thousand, six hundred".