201205920 has 96 divisors (see below), whose sum is σ = 637725312. Its totient is φ = 53322752.

The previous prime is 201205883. The next prime is 201205933. The reversal of 201205920 is 29502102.

201205920 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81829 + ... + 84251.

It is an arithmetic number, because the mean of its divisors is an integer number (6642972).

Almost surely, 2^201205920 is an apocalyptic number.

201205920 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 201205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318862656).

201205920 is an abundant number, since it is smaller than the sum of its proper divisors (436519392).

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

201205920 is a wasteful number, since it uses less digits than its factorization.

201205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 201205920 is about 14184.7072581707. The cubic root of 201205920 is about 585.9765703298.

The spelling of 201205920 in words is "two hundred one million, two hundred five thousand, nine hundred twenty".