1023142120 has 384 divisors, whose sum is σ = 3281886720. Its totient is φ = 278784000.

The previous prime is 1023142117. The next prime is 1023142147. The reversal of 1023142120 is 212413201.

It is a junction number, because it is equal to n+sod(n) for n = 1023142094 and 1023142103.

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 95 ways as a sum of consecutive naturals, for example, 10130070 + ... + 10130170.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2^1023142120 is an apocalyptic number.

1023142120 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 1023142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

1023142120 is an abundant number, since it is smaller than the sum of its proper divisors (2258744600).

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

1023142120 is a wasteful number, since it uses less digits than its factorization.

1023142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1023142120 is about 31986.5928163660. The cubic root of 1023142120 is about 1007.6552870384.

Adding to 1023142120 its reverse (212413201), we get a palindrome (1235555321).

The spelling of 1023142120 in words is "one billion, twenty-three million, one hundred forty-two thousand, one hundred twenty".