1003123122120 has 192 divisors, whose sum is σ = 3729020181120. Its totient is φ = 229092406272.

The previous prime is 1003123122073. The next prime is 1003123122179. The reversal of 1003123122120 is 212213213001.

1003123122120 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 312 + 21 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1003123122093 and 1003123122102.

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, 2839527 + ... + 3173193.

It is an arithmetic number, because the mean of its divisors is an integer number (19421980110).

Almost surely, 2^{1003123122120} is an apocalyptic number.

1003123122120 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 1003123122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864510090560).

1003123122120 is an abundant number, since it is smaller than the sum of its proper divisors (2725897059000).

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

1003123122120 is a wasteful number, since it uses less digits than its factorization.

1003123122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334884 (or 334877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003123122120 its reverse (212213213001), we get a palindrome (1215336335121).

The spelling of 1003123122120 in words is "one trillion, three billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty".