201121956 has 72 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 57306816.

The previous prime is 201121919. The next prime is 201121957. The reversal of 201121956 is 659121102.

It is not an unprimeable number, because it can be changed into a prime (201121957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116830 + ... + 118538.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2^201121956 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 201121956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

201121956 is an abundant number, since it is smaller than the sum of its proper divisors (381481884).

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

201121956 is a wasteful number, since it uses less digits than its factorization.

201121956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 201121956 is about 14181.7472830396. The cubic root of 201121956 is about 585.8950489010.

The spelling of 201121956 in words is "two hundred one million, one hundred twenty-one thousand, nine hundred fifty-six".