123781868032900 has 243 divisors, whose sum is σ = 343472420574927. Its totient is φ = 38578691289600.

The previous prime is 123781868032873. The next prime is 123781868032919. The reversal of 123781868032900 is 9230868187321.

It is a happy number.

The square root of 123781868032900 is 11125730.

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

123781868032900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31307180659524 + 92474687373376 = 5595282^2 + 9616376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8566804876 + ... + 8566819324.

Almost surely, 2^{123781868032900} is an apocalyptic number.

123781868032900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123781868032900 is the 11125730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123781868032900

123781868032900 is an abundant number, since it is smaller than the sum of its proper divisors (219690552542027).

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

123781868032900 is an equidigital number, since it uses as much as digits as its factorization.

123781868032900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28948 (or 14474 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 123781868032900 in words is "one hundred twenty-three trillion, seven hundred eighty-one billion, eight hundred sixty-eight million, thirty-two thousand, nine hundred".