123012136 has 64 divisors (see below), whose sum is σ = 269574480. Its totient is φ = 52101120.

The previous prime is 123012107. The next prime is 123012143. The reversal of 123012136 is 631210321.

It can be written as a sum of positive squares in 8 ways, for example, as 57304900 + 65707236 = 7570^2 + 8106^2 .

It is a super-3 number, since 3×123012136³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71640 + ... + 73336.

Almost surely, 2^123012136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123012136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134787240).

123012136 is an abundant number, since it is smaller than the sum of its proper divisors (146562344).

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

123012136 is a wasteful number, since it uses less digits than its factorization.

123012136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 123012136 is about 11091.0836260484. The cubic root of 123012136 is about 497.3353390577.

Adding to 123012136 its reverse (631210321), we get a palindrome (754222457).

It can be divided in two parts, 1230 and 12136, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 123012136 in words is "one hundred twenty-three million, twelve thousand, one hundred thirty-six".