9402120 has 288 divisors, whose sum is σ = 39213720. Its totient is φ = 1935360.

The previous prime is 9402103. The next prime is 9402121. The reversal of 9402120 is 212049.

9402120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3261636 + 6140484 = 1806^2 + 2478^2 .

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 = 9402093 and 9402102.

It is not an unprimeable number, because it can be changed into a prime (9402121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229300 + ... + 229340.

Almost surely, 2^9402120 is an apocalyptic number.

9402120 is a gapful number since it is divisible by the number (90) 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 9402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

9402120 is an abundant number, since it is smaller than the sum of its proper divisors (29811600).

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

9402120 is a wasteful number, since it uses less digits than its factorization.

9402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9402120 is about 3066.2876577386. The cubic root of 9402120 is about 211.0612940830.

Adding to 9402120 its reverse (212049), we get a palindrome (9614169).

The spelling of 9402120 in words is "nine million, four hundred two thousand, one hundred twenty".