123121140213120 has 384 divisors, whose sum is σ = 459429718664160. Its totient is φ = 27962723303424.

The previous prime is 123121140213119. The next prime is 123121140213139. The reversal of 123121140213120 is 21312041121321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×123121140213120³ (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10602772 + ... + 18938348.

Almost surely, 2^{123121140213120} is an apocalyptic number.

123121140213120 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 123121140213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229714859332080).

123121140213120 is an abundant number, since it is smaller than the sum of its proper divisors (336308578451040).

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

123121140213120 is a wasteful number, since it uses less digits than its factorization.

123121140213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335770 (or 8335751 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 123121140213120 its reverse (21312041121321), we get a palindrome (144433181334441).

The spelling of 123121140213120 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, one hundred forty million, two hundred thirteen thousand, one hundred twenty".