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212220111120200 = 235243823145920551
BaseRepresentation
bin110000010000001101011000…
…010101100110011101001000
31000211102001012102121121100222
4300100031120111212131020
5210304003241421321300
62031204323444445212
762462253122066531
oct6020153025463510
91024361172547328
10212220111120200
1161690053184647
121b9758199a9808
1391553696b0751
143a59718653688
1519804eacee785
hexc10358566748

212220111120200 has 192 divisors, whose sum is σ = 505871005516800. Its totient is φ = 82752370848000.

The previous prime is 212220111120091. The next prime is 212220111120221. The reversal of 212220111120200 is 2021111022212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10326499925 + ... + 10326520475.

It is an arithmetic number, because the mean of its divisors is an integer number (2634744820400).

Almost surely, 2212220111120200 is an apocalyptic number.

212220111120200 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 212220111120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252935502758400).

212220111120200 is an abundant number, since it is smaller than the sum of its proper divisors (293650894396600).

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

212220111120200 is a wasteful number, since it uses less digits than its factorization.

212220111120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892 (or 22883 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212220111120200 its reverse (2021111022212), we get a palindrome (214241222142412).

The spelling of 212220111120200 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty thousand, two hundred".