1023210120 has 64 divisors (see below), whose sum is σ = 3085283520. Its totient is φ = 271464704.

The previous prime is 1023210113. The next prime is 1023210187. The reversal of 1023210120 is 210123201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1023210096 and 1023210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999 + ... + 45281.

It is an arithmetic number, because the mean of its divisors is an integer number (48207555).

Almost surely, 2^1023210120 is an apocalyptic number.

1023210120 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 1023210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542641760).

1023210120 is an abundant number, since it is smaller than the sum of its proper divisors (2062073400).

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

1023210120 is a wasteful number, since it uses less digits than its factorization.

1023210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43494 (or 43490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1023210120 is about 31987.6557440523. The cubic root of 1023210120 is about 1007.6776101156.

Adding to 1023210120 its reverse (210123201), we get a palindrome (1233333321).

The spelling of 1023210120 in words is "one billion, twenty-three million, two hundred ten thousand, one hundred twenty".