123606036201600 has 384 divisors, whose sum is σ = 467962517232000. Its totient is φ = 31825001779200.

The previous prime is 123606036201587. The next prime is 123606036201607. The reversal of 123606036201600 is 6102630606321.

123606036201600 is a `hidden beast` number, since 1 + 2 + 3 + 606 + 0 + 36 + 2 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123606036201607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22160356 + ... + 27171555.

It is an arithmetic number, because the mean of its divisors is an integer number (1218652388625).

Almost surely, 2^{123606036201600} is an apocalyptic number.

123606036201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123606036201600 is an abundant number, since it is smaller than the sum of its proper divisors (344356481030400).

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

123606036201600 is a wasteful number, since it uses less digits than its factorization.

123606036201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49331973 (or 49331950 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 123606036201600 its reverse (6102630606321), we get a palindrome (129708666807921).

The spelling of 123606036201600 in words is "one hundred twenty-three trillion, six hundred six billion, thirty-six million, two hundred one thousand, six hundred".