123120111233000 has 256 divisors, whose sum is σ = 340759399219200. Its totient is φ = 40739375846400.

The previous prime is 123120111232949. The next prime is 123120111233023. The reversal of 123120111233000 is 332111021321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 473469017 + ... + 473728983.

It is an arithmetic number, because the mean of its divisors is an integer number (1331091403200).

Almost surely, 2^{123120111233000} is an apocalyptic number.

123120111233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123120111233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170379699609600).

123120111233000 is an abundant number, since it is smaller than the sum of its proper divisors (217639287986200).

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

123120111233000 is a wasteful number, since it uses less digits than its factorization.

123120111233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262357 (or 262343 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123120111233000 its reverse (332111021321), we get a palindrome (123452222254321).

The spelling of 123120111233000 in words is "one hundred twenty-three trillion, one hundred twenty billion, one hundred eleven million, two hundred thirty-three thousand".