123011012130012 has 72 divisors (see below), whose sum is σ = 314508847161600. Its totient is φ = 40533854135808.

The previous prime is 123011012129989. The next prime is 123011012130089. The reversal of 123011012130012 is 210031210110321.

123011012130012 is a `hidden beast` number, since 1 + 230 + 1 + 1 + 0 + 121 + 300 + 12 = 666.

It is a super-2 number, since 2×123011012130012² (a number of 29 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9973189 + ... + 18587267.

It is an arithmetic number, because the mean of its divisors is an integer number (4368178432800).

Almost surely, 2^{123011012130012} is an apocalyptic number.

123011012130012 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 123011012130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157254423580800).

123011012130012 is an abundant number, since it is smaller than the sum of its proper divisors (191497835031588).

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

123011012130012 is a wasteful number, since it uses less digits than its factorization.

123011012130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618635 (or 8618630 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123011012130012 its reverse (210031210110321), we get a palindrome (333042222240333).

The spelling of 123011012130012 in words is "one hundred twenty-three trillion, eleven billion, twelve million, one hundred thirty thousand, twelve".