196112000 has 256 divisors, whose sum is σ = 595745280. Its totient is φ = 62668800.

The previous prime is 196111987. The next prime is 196112009. The reversal of 196112000 is 211691.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (196112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903949 + ... + 1904051.

It is an arithmetic number, because the mean of its divisors is an integer number (2327130).

Almost surely, 2^196112000 is an apocalyptic number.

196112000 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 196112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

196112000 is an abundant number, since it is smaller than the sum of its proper divisors (399633280).

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

196112000 is a wasteful number, since it uses less digits than its factorization.

196112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 196112000 is about 14003.9994287346. Note that the first 3 decimals coincide. The cubic root of 196112000 is about 580.9891958259.

Adding to 196112000 its reverse (211691), we get a palindrome (196323691).

It can be divided in two parts, 196 and 112000, that multiplied together give a cube (21952000 = 280³).

The spelling of 196112000 in words is "one hundred ninety-six million, one hundred twelve thousand".