162201312 has 192 divisors, whose sum is σ = 582543360. Its totient is φ = 42757632.

The previous prime is 162201307. The next prime is 162201337. The reversal of 162201312 is 213102261.

It is a super-2 number, since 2×162201312² = 52618531229042688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77593 + ... + 79655.

It is an arithmetic number, because the mean of its divisors is an integer number (3034080).

Almost surely, 2^162201312 is an apocalyptic number.

162201312 is a gapful number since it is divisible by the number (12) 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 162201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291271680).

162201312 is an abundant number, since it is smaller than the sum of its proper divisors (420342048).

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

162201312 is a wasteful number, since it uses less digits than its factorization.

162201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 162201312 is about 12735.8278882843. The cubic root of 162201312 is about 545.3618918987.

Adding to 162201312 its reverse (213102261), we get a palindrome (375303573).

The spelling of 162201312 in words is "one hundred sixty-two million, two hundred one thousand, three hundred twelve".