1020175120 has 80 divisors (see below), whose sum is σ = 2535587712. Its totient is φ = 380779520.

The previous prime is 1020175081. The next prime is 1020175127. The reversal of 1020175120 is 215710201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1020175127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68679 + ... + 82201.

Almost surely, 2^1020175120 is an apocalyptic number.

1020175120 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 1020175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267793856).

1020175120 is an abundant number, since it is smaller than the sum of its proper divisors (1515412592).

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

1020175120 is a wasteful number, since it uses less digits than its factorization.

1020175120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13600 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1020175120 is about 31940.1803376249. The cubic root of 1020175120 is about 1006.6803140312.

Adding to 1020175120 its reverse (215710201), we get a palindrome (1235885321).

The spelling of 1020175120 in words is "one billion, twenty million, one hundred seventy-five thousand, one hundred twenty".