201120965280 has 480 divisors, whose sum is σ = 730746878400. Its totient is φ = 52071579648.

The previous prime is 201120965273. The next prime is 201120965333. The reversal of 201120965280 is 82569021102.

201120965280 is a `hidden beast` number, since 2 + 0 + 1 + 120 + 9 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63463536 + ... + 63466704.

It is an arithmetic number, because the mean of its divisors is an integer number (1522389330).

Almost surely, 2^201120965280 is an apocalyptic number.

201120965280 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 201120965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365373439200).

201120965280 is an abundant number, since it is smaller than the sum of its proper divisors (529625913120).

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

201120965280 is a wasteful number, since it uses less digits than its factorization.

201120965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 201120965280 its reverse (82569021102), we get a palindrome (283689986382).

It can be divided in two parts, 201120 and 965280, that added together give a square (1166400 = 1080²).

The spelling of 201120965280 in words is "two hundred one billion, one hundred twenty million, nine hundred sixty-five thousand, two hundred eighty".