210121120 has 96 divisors (see below), whose sum is σ = 544755456. Its totient is φ = 75955200.

The previous prime is 210121103. The next prime is 210121151. The reversal of 210121120 is 21121012.

It is a super-3 number, since 3×210121120³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210121097 and 210121106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487305 + ... + 487735.

It is an arithmetic number, because the mean of its divisors is an integer number (5674536).

Almost surely, 2^210121120 is an apocalyptic number.

210121120 is a gapful number since it is divisible by the number (20) 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 210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272377728).

210121120 is an abundant number, since it is smaller than the sum of its proper divisors (334634336).

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

210121120 is a wasteful number, since it uses less digits than its factorization.

210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 210121120 is about 14495.5551808132. Note that the first 3 decimals coincide. The cubic root of 210121120 is about 594.5064475719.

Adding to 210121120 its reverse (21121012), we get a palindrome (231242132).

The spelling of 210121120 in words is "two hundred ten million, one hundred twenty-one thousand, one hundred twenty".