123949060096 has 39 divisors (see below), whose sum is σ = 247912926073. Its totient is φ = 61963264000.

The previous prime is 123949060091. The next prime is 123949060129. The reversal of 123949060096 is 690060949321.

The square root of 123949060096 is 352064.

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

It can be written as a sum of positive squares in only one way, i.e., 121706090496 + 2242969600 = 348864^2 + 47360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123949060091) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22529346 + ... + 22534846.

Almost surely, 2^123949060096 is an apocalyptic number.

123949060096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123949060096 is the 352064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123949060096

123949060096 is an abundant number, since it is smaller than the sum of its proper divisors (123963865977).

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

123949060096 is an frugal number, since it uses more digits than its factorization.

123949060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

Multiplying 123949060096 by its sum of digits (49), we get a square (6073503944704 = 2464448²).

The spelling of 123949060096 in words is "one hundred twenty-three billion, nine hundred forty-nine million, sixty thousand, ninety-six".