123085261920 has 768 divisors, whose sum is σ = 440333107200. Its totient is φ = 28768296960.

The previous prime is 123085261913. The next prime is 123085261961. The reversal of 123085261920 is 29162580321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 783982482 + ... + 783982638.

It is an arithmetic number, because the mean of its divisors is an integer number (573350400).

Almost surely, 2^123085261920 is an apocalyptic number.

123085261920 is a gapful number since it is divisible by the number (10) 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 123085261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220166553600).

123085261920 is an abundant number, since it is smaller than the sum of its proper divisors (317247845280).

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

123085261920 is a wasteful number, since it uses less digits than its factorization.

123085261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 123085261920 in words is "one hundred twenty-three billion, eighty-five million, two hundred sixty-one thousand, nine hundred twenty".