1021125120 has 160 divisors (see below), whose sum is σ = 3370498560. Its totient is φ = 263454720.

The previous prime is 1021125101. The next prime is 1021125121. The reversal of 1021125120 is 215211201.

It is a tau number, because it is divible by the number of its divisors (160).

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 1021125120.

It is not an unprimeable number, because it can be changed into a prime (1021125121) 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, 235936 + ... + 240224.

It is an arithmetic number, because the mean of its divisors is an integer number (21065616).

Almost surely, 2^1021125120 is an apocalyptic number.

1021125120 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 1021125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685249280).

1021125120 is an abundant number, since it is smaller than the sum of its proper divisors (2349373440).

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

1021125120 is an equidigital number, since it uses as much as digits as its factorization.

1021125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1021125120 is about 31955.0484274394. The cubic root of 1021125120 is about 1006.9926949088.

Adding to 1021125120 its reverse (215211201), we get a palindrome (1236336321).

The spelling of 1021125120 in words is "one billion, twenty-one million, one hundred twenty-five thousand, one hundred twenty".