123135012 has 384 divisors, whose sum is σ = 460615680. Its totient is φ = 27371520.

The previous prime is 123134987. The next prime is 123135017. The reversal of 123135012 is 210531321.

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 (123135017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1837803 + ... + 1837869.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2^123135012 is an apocalyptic number.

123135012 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 123135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

123135012 is an abundant number, since it is smaller than the sum of its proper divisors (337480668).

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

123135012 is a wasteful number, since it uses less digits than its factorization.

123135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123135012 is about 11096.6216480513. The cubic root of 123135012 is about 497.5008789325.

Adding to 123135012 its reverse (210531321), we get a palindrome (333666333).

The spelling of 123135012 in words is "one hundred twenty-three million, one hundred thirty-five thousand, twelve".