201196888200 has 1920 divisors, whose sum is σ = 927837757440. Its totient is φ = 39517632000.

The previous prime is 201196888163. The next prime is 201196888201. The reversal of 201196888200 is 2888691102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (201196888201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4678997379 + ... + 4678997421.

It is an arithmetic number, because the mean of its divisors is an integer number (483248832).

Almost surely, 2^201196888200 is an apocalyptic number.

201196888200 is a gapful number since it is divisible by the number (20) 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 201196888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463918878720).

201196888200 is an abundant number, since it is smaller than the sum of its proper divisors (726640869240).

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

201196888200 is a wasteful number, since it uses less digits than its factorization.

201196888200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 201196888200 in words is "two hundred one billion, one hundred ninety-six million, eight hundred eighty-eight thousand, two hundred".