201167120 has 240 divisors, whose sum is σ = 624924288. Its totient is φ = 58490880.

The previous prime is 201167107. The next prime is 201167123. The reversal of 201167120 is 21761102.

201167120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201167092 and 201167101.

It is not an unprimeable number, because it can be changed into a prime (201167123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780184 + ... + 1780296.

Almost surely, 2^201167120 is an apocalyptic number.

201167120 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 201167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312462144).

201167120 is an abundant number, since it is smaller than the sum of its proper divisors (423757168).

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

201167120 is a wasteful number, since it uses less digits than its factorization.

201167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 201167120 is about 14183.3395221295. The cubic root of 201167120 is about 585.9389018681.

The spelling of 201167120 in words is "two hundred one million, one hundred sixty-seven thousand, one hundred twenty".