123797133005056 has 243 divisors, whose sum is σ = 294759042327813. Its totient is φ = 51740504739840.

The previous prime is 123797133004969. The next prime is 123797133005071. The reversal of 123797133005056 is 650500331797321.

The square root of 123797133005056 is 11126416.

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., 5965239603456 + 117831893401600 = 2442384^2 + 10855040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123797133004994 and 123797133005012.

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, 51092501061 + ... + 51092503483.

Almost surely, 2^{123797133005056} is an apocalyptic number.

123797133005056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123797133005056 is the 11126416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123797133005056

123797133005056 is an abundant number, since it is smaller than the sum of its proper divisors (170961909322757).

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

123797133005056 is an frugal number, since it uses more digits than its factorization.

123797133005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 52.

The spelling of 123797133005056 in words is "one hundred twenty-three trillion, seven hundred ninety-seven billion, one hundred thirty-three million, five thousand, fifty-six".