16120400 has 60 divisors (see below), whose sum is σ = 39116544. Its totient is φ = 6384000.

The previous prime is 16120397. The next prime is 16120411. The reversal of 16120400 is 402161.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76295 + ... + 76505.

Almost surely, 2^16120400 is an apocalyptic number.

16120400 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 16120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19558272).

16120400 is an abundant number, since it is smaller than the sum of its proper divisors (22996144).

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

16120400 is a wasteful number, since it uses less digits than its factorization.

With its successor (16120401) it forms an eRAP, since the sums of their prime factors are consecutive (420 and 421).

16120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 16120400 is about 4015.0217932161. The cubic root of 16120400 is about 252.6146915490.

Adding to 16120400 its reverse (402161), we get a palindrome (16522561).

The spelling of 16120400 in words is "sixteen million, one hundred twenty thousand, four hundred".