201072161220 has 48 divisors (see below), whose sum is σ = 643430917248. Its totient is φ = 45959351040.

The previous prime is 201072161203. The next prime is 201072161231. The reversal of 201072161220 is 22161270102.

201072161220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239371201 + ... + 239372040.

It is an arithmetic number, because the mean of its divisors is an integer number (13404810776).

Almost surely, 2^201072161220 is an apocalyptic number.

201072161220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201072161220 is an abundant number, since it is smaller than the sum of its proper divisors (442358756028).

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

201072161220 is a wasteful number, since it uses less digits than its factorization.

201072161220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478743260 (or 478743258 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 201072161220 in words is "two hundred one billion, seventy-two million, one hundred sixty-one thousand, two hundred twenty".