123002013120 has 336 divisors, whose sum is σ = 452821023744. Its totient is φ = 27711129600.

The previous prime is 123002013109. The next prime is 123002013133. The reversal of 123002013120 is 21310200321.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123002013120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33873705 + ... + 33877335.

Almost surely, 2^123002013120 is an apocalyptic number.

123002013120 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 123002013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226410511872).

123002013120 is an abundant number, since it is smaller than the sum of its proper divisors (329819010624).

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

123002013120 is an equidigital number, since it uses as much as digits as its factorization.

123002013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123002013120 its reverse (21310200321), we get a palindrome (144312213441).

The spelling of 123002013120 in words is "one hundred twenty-three billion, two million, thirteen thousand, one hundred twenty".