123100224000 has 640 divisors, whose sum is σ = 445059014400. Its totient is φ = 30007296000.

The previous prime is 123100223993. The next prime is 123100224011. The reversal of 123100224000 is 422001321.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×123100224000³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371903835 + ... + 371904165.

It is an arithmetic number, because the mean of its divisors is an integer number (695404710).

Almost surely, 2^123100224000 is an apocalyptic number.

123100224000 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 123100224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222529507200).

123100224000 is an abundant number, since it is smaller than the sum of its proper divisors (321958790400).

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

123100224000 is a wasteful number, since it uses less digits than its factorization.

123100224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 123100224000 its reverse (422001321), we get a palindrome (123522225321).

The spelling of 123100224000 in words is "one hundred twenty-three billion, one hundred million, two hundred twenty-four thousand".