1002093120 has 504 divisors, whose sum is σ = 4173833664. Its totient is φ = 228178944.

The previous prime is 1002093107. The next prime is 1002093137. The reversal of 1002093120 is 213902001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 1002093093 and 1002093102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810109 + ... + 3810371.

It is an arithmetic number, because the mean of its divisors is an integer number (8281416).

Almost surely, 2^1002093120 is an apocalyptic number.

1002093120 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 1002093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086916832).

1002093120 is an abundant number, since it is smaller than the sum of its proper divisors (3171740544).

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

1002093120 is an equidigital number, since it uses as much as digits as its factorization.

1002093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1002093120 is about 31655.8544348435. The cubic root of 1002093120 is about 1000.6972204374.

Adding to 1002093120 its reverse (213902001), we get a palindrome (1215995121).

The spelling of 1002093120 in words is "one billion, two million, ninety-three thousand, one hundred twenty".