1020402120 has 96 divisors (see below), whose sum is σ = 3170718720. Its totient is φ = 262698240.

The previous prime is 1020402113. The next prime is 1020402127. The reversal of 1020402120 is 212040201.

1020402120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020402113) and next prime (1020402127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020402096 and 1020402105.

It is not an unprimeable number, because it can be changed into a prime (1020402127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95865 + ... + 105975.

It is an arithmetic number, because the mean of its divisors is an integer number (33028320).

Almost surely, 2^1020402120 is an apocalyptic number.

1020402120 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 1020402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585359360).

1020402120 is an abundant number, since it is smaller than the sum of its proper divisors (2150316600).

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

1020402120 is a wasteful number, since it uses less digits than its factorization.

1020402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10183 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020402120 is about 31943.7336577927. The cubic root of 1020402120 is about 1006.7549742472.

Adding to 1020402120 its reverse (212040201), we get a palindrome (1232442321).

The spelling of 1020402120 in words is "one billion, twenty million, four hundred two thousand, one hundred twenty".