161112000 has 336 divisors, whose sum is σ = 623364768. Its totient is φ = 36556800.

The previous prime is 161111957. The next prime is 161112037. The reversal of 161112000 is 211161.

It is a happy number.

161112000 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 (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175932 + ... + 1176068.

Almost surely, 2^161112000 is an apocalyptic number.

161112000 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 161112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311682384).

161112000 is an abundant number, since it is smaller than the sum of its proper divisors (462252768).

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

161112000 is a wasteful number, since it uses less digits than its factorization.

161112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

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

The square root of 161112000 is about 12692.9901914403. The cubic root of 161112000 is about 544.1383010536.

Adding to 161112000 its reverse (211161), we get a palindrome (161323161).

The spelling of 161112000 in words is "one hundred sixty-one million, one hundred twelve thousand".