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212122322020200 = 23352794475154473
BaseRepresentation
bin110000001110110010010011…
…101001110010011101101000
31000211001200210100011121202110
4300032302103221302131220
5210300403003414121300
62031051352141002320
762452221612335604
oct6016622351623550
91024050710147673
10212122322020200
1161652631843429
121b95a8885533a0
139149083c4aa77
143a54abd0aa504
15197cbc5c36550
hexc0ec93a72768

212122322020200 has 96 divisors (see below), whose sum is σ = 665902985731200. Its totient is φ = 55849927810560.

The previous prime is 212122322020183. The next prime is 212122322020247. The reversal of 212122322020200 is 2020223221212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2237529837 + ... + 2237624636.

It is an arithmetic number, because the mean of its divisors is an integer number (6936489434700).

Almost surely, 2212122322020200 is an apocalyptic number.

212122322020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122322020200 is an abundant number, since it is smaller than the sum of its proper divisors (453780663711000).

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

212122322020200 is a wasteful number, since it uses less digits than its factorization.

212122322020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475154571 (or 4475154562 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212122322020200 its reverse (2020223221212), we get a palindrome (214142545241412).

The spelling of 212122322020200 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 47400 4475154473 8950308946 13425463419 17900617892 22375772365 26850926838 35801235784 44751544730 53701853676 67127317095 89503089460 107403707352 111878861825 134254634190 179006178920 223757723650 268509268380 335636585475 353537203367 447515447300 537018536760 671273170950 707074406734 895030894600 1060611610101 1342546341900 1414148813468 1767686016835 2121223220202 2685092683800 2828297626936 3535372033670 4242446440404 5303058050505 7070744067340 8484892880808 8838430084175 10606116101010 14141488134680 17676860168350 21212232202020 26515290252525 35353720336700 42424464404040 53030580505050 70707440673400 106061161010100 212122322020200