123882880900 has 81 divisors (see below), whose sum is σ = 273779564877. Its totient is φ = 48656332800.

The previous prime is 123882880897. The next prime is 123882880943. The reversal of 123882880900 is 9088288321.

The square root of 123882880900 is 351970.

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

It can be written as a sum of positive squares in 13 ways, for example, as 67368278916 + 56514601984 = 259554^2 + 237728^2 .

It is a Duffinian number.

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, 214701412 + ... + 214701988.

Almost surely, 2^123882880900 is an apocalyptic number.

123882880900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123882880900 is the 351970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123882880900

123882880900 is an abundant number, since it is smaller than the sum of its proper divisors (149896683977).

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

123882880900 is an frugal number, since it uses more digits than its factorization.

123882880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

Multiplying 123882880900 by its sum of digits (49), we get a square (6070261164100 = 2463790²).

The spelling of 123882880900 in words is "one hundred twenty-three billion, eight hundred eighty-two million, eight hundred eighty thousand, nine hundred".