1048101120 has 360 divisors, whose sum is σ = 4095685440. Its totient is φ = 253808640.

The previous prime is 1048101091. The next prime is 1048101121. The reversal of 1048101120 is 211018401.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 1048101093 and 1048101102.

It is not an unprimeable number, because it can be changed into a prime (1048101121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140021 + ... + 1140939.

It is an arithmetic number, because the mean of its divisors is an integer number (11376904).

Almost surely, 2^1048101120 is an apocalyptic number.

1048101120 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 1048101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047842720).

1048101120 is an abundant number, since it is smaller than the sum of its proper divisors (3047584320).

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

1048101120 is an equidigital number, since it uses as much as digits as its factorization.

1048101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1048101120 is about 32374.3898784209. The cubic root of 1048101120 is about 1015.7832840104.

Adding to 1048101120 its reverse (211018401), we get a palindrome (1259119521).

The spelling of 1048101120 in words is "one billion, forty-eight million, one hundred one thousand, one hundred twenty".