1023123210120 has 1152 divisors, whose sum is σ = 3900039736320. Its totient is φ = 232110489600.

The previous prime is 1023123210103. The next prime is 1023123210139. The reversal of 1023123210120 is 210123213201.

1023123210120 is a `hidden beast` number, since 10 + 2 + 312 + 321 + 0 + 1 + 20 = 666.

It is a super-2 number, since 2×1023123210120² (a number of 25 digits) contains 22 as substring.

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 = 1023123210093 and 1023123210102.

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 287 ways as a sum of consecutive naturals, for example, 9561899107 + ... + 9561899213.

It is an arithmetic number, because the mean of its divisors is an integer number (3385451160).

Almost surely, 2^{1023123210120} is an apocalyptic number.

1023123210120 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 1023123210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950019868160).

1023123210120 is an abundant number, since it is smaller than the sum of its proper divisors (2876916526200).

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

1023123210120 is a wasteful number, since it uses less digits than its factorization.

1023123210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

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

Adding to 1023123210120 its reverse (210123213201), we get a palindrome (1233246423321).

The spelling of 1023123210120 in words is "one trillion, twenty-three billion, one hundred twenty-three million, two hundred ten thousand, one hundred twenty".