196121800 has 192 divisors, whose sum is σ = 561571200. Its totient is φ = 62208000.

The previous prime is 196121789. The next prime is 196121801. The reversal of 196121800 is 8121691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (196121801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941750 + ... + 1941850.

It is an arithmetic number, because the mean of its divisors is an integer number (2924850).

Almost surely, 2^196121800 is an apocalyptic number.

196121800 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 196121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280785600).

196121800 is an abundant number, since it is smaller than the sum of its proper divisors (365449400).

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

196121800 is a wasteful number, since it uses less digits than its factorization.

196121800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 196121800 is about 14004.3493244063. The cubic root of 196121800 is about 580.9988732879.

It can be divided in two parts, 19612 and 1800, that added together give a palindrome (21412).

The spelling of 196121800 in words is "one hundred ninety-six million, one hundred twenty-one thousand, eight hundred".