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20211211200 = 2635213813049
BaseRepresentation
bin10010110100101011…
…101001101111000000
31221011112221220112210
4102310223221233000
5312343032224300
613141312222120
71313565313665
oct226453515700
957145856483
1020211211200
11863177a134
123b0083a940
131ba1388b8b
14d9a385a6c
157d458c050
hex4b4ae9bc0

20211211200 has 168 divisors, whose sum is σ = 66379394800. Its totient is φ = 5383987200.

The previous prime is 20211211169. The next prime is 20211211213. The reversal of 20211211200 is 211211202.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6627276 + ... + 6630324.

Almost surely, 220211211200 is an apocalyptic number.

20211211200 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 20211211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33189697400).

20211211200 is an abundant number, since it is smaller than the sum of its proper divisors (46168183600).

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

20211211200 is a wasteful number, since it uses less digits than its factorization.

20211211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20211211200 its reverse (211211202), we get a palindrome (20422422402).

It can be divided in two parts, 202112 and 11200, that added together give a palindrome (213312).

The spelling of 20211211200 in words is "twenty billion, two hundred eleven million, two hundred eleven thousand, two hundred".