162122400 has 432 divisors, whose sum is σ = 658082880. Its totient is φ = 37171200.

The previous prime is 162122393. The next prime is 162122407. The reversal of 162122400 is 4221261.

162122400 is a `hidden beast` number, since 1 + 621 + 2 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (162122393) and next prime (162122407).

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

It is not an unprimeable number, because it can be changed into a prime (162122407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1821556 + ... + 1821644.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^162122400 is an apocalyptic number.

162122400 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 162122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

162122400 is an abundant number, since it is smaller than the sum of its proper divisors (495960480).

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

162122400 is a wasteful number, since it uses less digits than its factorization.

162122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 162122400 is about 12732.7294795735. The cubic root of 162122400 is about 545.2734368424.

Adding to 162122400 its reverse (4221261), we get a palindrome (166343661).

The spelling of 162122400 in words is "one hundred sixty-two million, one hundred twenty-two thousand, four hundred".