162001200 has 120 divisors (see below), whose sum is σ = 523522048. Its totient is φ = 42819840.

The previous prime is 162001199. The next prime is 162001223. The reversal of 162001200 is 2100261.

162001200 is digitally balanced in base 2, because in such base 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151869 + ... + 152931.

Almost surely, 2^162001200 is an apocalyptic number.

162001200 is a gapful number since it is divisible by the number (10) 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 162001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261761024).

162001200 is an abundant number, since it is smaller than the sum of its proper divisors (361520848).

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

162001200 is a wasteful number, since it uses less digits than its factorization.

162001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 162001200 is about 12727.9692017226. The cubic root of 162001200 is about 545.1375238616.

Adding to 162001200 its reverse (2100261), we get a palindrome (164101461).

The spelling of 162001200 in words is "one hundred sixty-two million, one thousand, two hundred".