123134410201200 has 60 divisors (see below), whose sum is σ = 394440560681688. Its totient is φ = 32835842720000.

The previous prime is 123134410201171. The next prime is 123134410201249. The reversal of 123134410201200 is 2102014431321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51306003051 + ... + 51306005450.

Almost surely, 2^{123134410201200} is an apocalyptic number.

123134410201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123134410201200 is an abundant number, since it is smaller than the sum of its proper divisors (271306150480488).

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

123134410201200 is a wasteful number, since it uses less digits than its factorization.

123134410201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102612008522 (or 102612008511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 123134410201200 its reverse (2102014431321), we get a palindrome (125236424632521).

The spelling of 123134410201200 in words is "one hundred twenty-three trillion, one hundred thirty-four billion, four hundred ten million, two hundred one thousand, two hundred".