1002020120 has 64 divisors (see below), whose sum is σ = 2432293920. Its totient is φ = 370100224.

The previous prime is 1002020087. The next prime is 1002020177. The reversal of 1002020120 is 210202001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1002020098 and 1002020107.

It is a congruent number.

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, 22139 + ... + 49941.

Almost surely, 2^1002020120 is an apocalyptic number.

1002020120 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 1002020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216146960).

1002020120 is an abundant number, since it is smaller than the sum of its proper divisors (1430273800).

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

1002020120 is a wasteful number, since it uses less digits than its factorization.

1002020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27884 (or 27880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1002020120 is about 31654.7013885773. The cubic root of 1002020120 is about 1000.6729204099.

Adding to 1002020120 its reverse (210202001), we get a palindrome (1212222121).

The spelling of 1002020120 in words is "one billion, two million, twenty thousand, one hundred twenty".