921201120 has 384 divisors, whose sum is σ = 3779758080. Its totient is φ = 205148160.

The previous prime is 921201107. The next prime is 921201121. The reversal of 921201120 is 21102129.

921201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×921201120² = 1697223006978508800, which contains 22 as substring.

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 = 921201093 and 921201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921201121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239469 + ... + 1240211.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^921201120 is an apocalyptic number.

921201120 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 921201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889879040).

921201120 is an abundant number, since it is smaller than the sum of its proper divisors (2858556960).

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

921201120 is a wasteful number, since it uses less digits than its factorization.

921201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 921201120 is about 30351.2951947689. The cubic root of 921201120 is about 973.0119015355.

Adding to 921201120 its reverse (21102129), we get a palindrome (942303249).

The spelling of 921201120 in words is "nine hundred twenty-one million, two hundred one thousand, one hundred twenty".