16112400 has 120 divisors (see below), whose sum is σ = 53508480. Its totient is φ = 4139520.

The previous prime is 16112377. The next prime is 16112423. The reversal of 16112400 is 421161.

It is an interprime number because it is at equal distance from previous prime (16112377) and next prime (16112423).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16112400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34569 + ... + 35031.

It is an arithmetic number, because the mean of its divisors is an integer number (445904).

Almost surely, 2^16112400 is an apocalyptic number.

16112400 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 16112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26754240).

16112400 is an abundant number, since it is smaller than the sum of its proper divisors (37396080).

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

16112400 is a wasteful number, since it uses less digits than its factorization.

16112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16112400 is about 4014.0254109809. The cubic root of 16112400 is about 252.5728966406.

Adding to 16112400 its reverse (421161), we get a palindrome (16533561).

It can be divided in two parts, 161 and 12400, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 16112400 in words is "sixteen million, one hundred twelve thousand, four hundred".