211200020400 has 120 divisors (see below), whose sum is σ = 676658151424. Its totient is φ = 56310508800.

The previous prime is 211200020389. The next prime is 211200020401. The reversal of 211200020400 is 4020002112.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (211200020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9818457 + ... + 9839943.

Almost surely, 2^211200020400 is an apocalyptic number.

211200020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200020400 is an abundant number, since it is smaller than the sum of its proper divisors (465458131024).

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

211200020400 is a wasteful number, since it uses less digits than its factorization.

211200020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29699 (or 29688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 211200020400 its reverse (4020002112), we get a palindrome (215220022512).

The spelling of 211200020400 in words is "two hundred eleven billion, two hundred million, twenty thousand, four hundred".