123112013310 has 192 divisors, whose sum is σ = 377288271360. Its totient is φ = 27458922240.

The previous prime is 123112013309. The next prime is 123112013351. The reversal of 123112013310 is 13310211321.

123112013310 is a `hidden beast` number, since 1 + 2 + 311 + 20 + 1 + 331 + 0 = 666.

It is a super-2 number, since 2×123112013310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3935511 + ... + 3966669.

It is an arithmetic number, because the mean of its divisors is an integer number (1965043080).

Almost surely, 2^123112013310 is an apocalyptic number.

123112013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123112013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188644135680).

123112013310 is an abundant number, since it is smaller than the sum of its proper divisors (254176258050).

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

123112013310 is a wasteful number, since it uses less digits than its factorization.

123112013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31503 (or 31500 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123112013310 its reverse (13310211321), we get a palindrome (136422224631).

The spelling of 123112013310 in words is "one hundred twenty-three billion, one hundred twelve million, thirteen thousand, three hundred ten".