123101628672 has 432 divisors, whose sum is σ = 383050342080. Its totient is φ = 34970664960.

The previous prime is 123101628571. The next prime is 123101628719. The reversal of 123101628672 is 276826101321.

It is a self number, because there is not a number n which added to its sum of digits gives 123101628672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199516108 + ... + 199516724.

Almost surely, 2^123101628672 is an apocalyptic number.

123101628672 is a gapful number since it is divisible by the number (12) 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 123101628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191525171040).

123101628672 is an abundant number, since it is smaller than the sum of its proper divisors (259948713408).

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

123101628672 is a wasteful number, since it uses less digits than its factorization.

123101628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 123101628672 its reverse (276826101321), we get a palindrome (399927729993).

The spelling of 123101628672 in words is "one hundred twenty-three billion, one hundred one million, six hundred twenty-eight thousand, six hundred seventy-two".