201321120 has 384 divisors, whose sum is σ = 853493760. Its totient is φ = 38522880.

The previous prime is 201321101. The next prime is 201321149. The reversal of 201321120 is 21123102.

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 = 201321096 and 201321105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480271 + ... + 480689.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^201321120 is an apocalyptic number.

201321120 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 201321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

201321120 is an abundant number, since it is smaller than the sum of its proper divisors (652172640).

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

201321120 is a wasteful number, since it uses less digits than its factorization.

201321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201321120 is about 14188.7673883252. The cubic root of 201321120 is about 586.0883821854.

Adding to 201321120 its reverse (21123102), we get a palindrome (222444222).

The spelling of 201321120 in words is "two hundred one million, three hundred twenty-one thousand, one hundred twenty".