201121984 has 56 divisors (see below), whose sum is σ = 462613248. Its totient is φ = 84967680.

The previous prime is 201121981. The next prime is 201121993. The reversal of 201121984 is 489121102.

201121984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (201121981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28647 + ... + 34969.

Almost surely, 2^201121984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231306624).

201121984 is an abundant number, since it is smaller than the sum of its proper divisors (261491264).

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

201121984 is an equidigital number, since it uses as much as digits as its factorization.

201121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 201121984 is about 14181.7482702240. The cubic root of 201121984 is about 585.8950760903.

The spelling of 201121984 in words is "two hundred one million, one hundred twenty-one thousand, nine hundred eighty-four".