1020225120 has 48 divisors (see below), whose sum is σ = 3213710640. Its totient is φ = 272059904.

The previous prime is 1020225119. The next prime is 1020225169. The reversal of 1020225120 is 215220201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020225120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062255 + ... + 1063214.

It is an arithmetic number, because the mean of its divisors is an integer number (66952305).

Almost surely, 2^1020225120 is an apocalyptic number.

1020225120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020225120 is an abundant number, since it is smaller than the sum of its proper divisors (2193485520).

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

1020225120 is a wasteful number, since it uses less digits than its factorization.

1020225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125487 (or 2125479 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1020225120 is about 31940.9630412109. The cubic root of 1020225120 is about 1006.6967599637.

Adding to 1020225120 its reverse (215220201), we get a palindrome (1235445321).

The spelling of 1020225120 in words is "one billion, twenty million, two hundred twenty-five thousand, one hundred twenty".