123002013312 has 192 divisors, whose sum is σ = 364149302400. Its totient is φ = 39834482688.

The previous prime is 123002013293. The next prime is 123002013313. The reversal of 123002013312 is 213310200321.

123002013312 is a `hidden beast` number, since 12 + 300 + 20 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (123002013313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6278989 + ... + 6298547.

It is an arithmetic number, because the mean of its divisors is an integer number (1896610950).

Almost surely, 2^123002013312 is an apocalyptic number.

123002013312 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 123002013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182074651200).

123002013312 is an abundant number, since it is smaller than the sum of its proper divisors (241147289088).

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

123002013312 is a wasteful number, since it uses less digits than its factorization.

123002013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19735 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123002013312 its reverse (213310200321), we get a palindrome (336312213633).

The spelling of 123002013312 in words is "one hundred twenty-three billion, two million, thirteen thousand, three hundred twelve".