123054145511121 has 48 divisors (see below), whose sum is σ = 205311628454400. Its totient is φ = 70190616168960.

The previous prime is 123054145511083. The next prime is 123054145511179. The reversal of 123054145511121 is 121115541450321.

It is a happy number.

123054145511121 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 4 + 14 + 5 + 511 + 121 = 666.

It is not a de Polignac number, because 123054145511121 - 2⁷ = 123054145510993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123054145511321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203109955 + ... + 203714903.

It is an arithmetic number, because the mean of its divisors is an integer number (4277325592800).

Almost surely, 2^{123054145511121} is an apocalyptic number.

123054145511121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123054145511121 is a deficient number, since it is larger than the sum of its proper divisors (82257482943279).

123054145511121 is a wasteful number, since it uses less digits than its factorization.

123054145511121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725846 (or 725843 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 123054145511121 its reverse (121115541450321), we get a palindrome (244169686961442).

The spelling of 123054145511121 in words is "one hundred twenty-three trillion, fifty-four billion, one hundred forty-five million, five hundred eleven thousand, one hundred twenty-one".