123213249709056 has 1760 divisors, whose sum is σ = 436500424926720. Its totient is φ = 34283873894400.

The previous prime is 123213249709027. The next prime is 123213249709061. The reversal of 123213249709056 is 650907942312321.

It is a happy number.

123213249709056 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 13 + 2 + 497 + 0 + 90 + 56 = 666.

It is a super-2 number, since 2×123213249709056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 123213249708993 and 123213249709011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39478771176 + ... + 39478774296.

It is an arithmetic number, because the mean of its divisors is an integer number (248011605072).

Almost surely, 2^{123213249709056} is an apocalyptic number.

123213249709056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123213249709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218250212463360).

123213249709056 is an abundant number, since it is smaller than the sum of its proper divisors (313287175217664).

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

123213249709056 is a wasteful number, since it uses less digits than its factorization.

123213249709056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 123213249709056 in words is "one hundred twenty-three trillion, two hundred thirteen billion, two hundred forty-nine million, seven hundred nine thousand, fifty-six".