123011013120000 has 520 divisors, whose sum is σ = 411156517998336. Its totient is φ = 32698810368000.

The previous prime is 123011013119963. The next prime is 123011013120019. The reversal of 123011013120000 is 21310110321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2434534737 + ... + 2434585263.

Almost surely, 2^{123011013120000} is an apocalyptic number.

123011013120000 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 123011013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205578258999168).

123011013120000 is an abundant number, since it is smaller than the sum of its proper divisors (288145504878336).

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

123011013120000 is an frugal number, since it uses more digits than its factorization.

123011013120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50891 (or 50854 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123011013120000 its reverse (21310110321), we get a palindrome (123032323230321).

The spelling of 123011013120000 in words is "one hundred twenty-three trillion, eleven billion, thirteen million, one hundred twenty thousand".