201061120 has 144 divisors (see below), whose sum is σ = 532600992. Its totient is φ = 72253440.

The previous prime is 201061103. The next prime is 201061127. The reversal of 201061120 is 21160102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 201061120.

It is not an unprimeable number, because it can be changed into a prime (201061127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715380 + ... + 715660.

It is an arithmetic number, because the mean of its divisors is an integer number (3698618).

Almost surely, 2^201061120 is an apocalyptic number.

201061120 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 201061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266300496).

201061120 is an abundant number, since it is smaller than the sum of its proper divisors (331539872).

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

201061120 is a wasteful number, since it uses less digits than its factorization.

201061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 201061120 is about 14179.6022511212. The cubic root of 201061120 is about 585.8359684864.

The spelling of 201061120 in words is "two hundred one million, sixty-one thousand, one hundred twenty".