123006353301 has 32 divisors (see below), whose sum is σ = 197794795520. Its totient is φ = 75100156992.

The previous prime is 123006353257. The next prime is 123006353363. The reversal of 123006353301 is 103353600321.

It is a happy number.

123006353301 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 6 + 353 + 301 = 666.

It is not a de Polignac number, because 123006353301 - 2¹⁴ = 123006336917 is a prime.

It is a super-3 number, since 3×123006353301³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123006353801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335130 + ... + 1424283.

It is an arithmetic number, because the mean of its divisors is an integer number (6181087360).

Almost surely, 2^123006353301 is an apocalyptic number.

It is an amenable number.

123006353301 is a deficient number, since it is larger than the sum of its proper divisors (74788442219).

123006353301 is a wasteful number, since it uses less digits than its factorization.

123006353301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759562 (or 2759556 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 123006353301 its reverse (103353600321), we get a palindrome (226359953622).

The spelling of 123006353301 in words is "one hundred twenty-three billion, six million, three hundred fifty-three thousand, three hundred one".