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212012200211022 = 2321729149316002271
BaseRepresentation
bin110000001101001011101111…
…111000011011001001001110
31000210200011112202120002121100
4300031023233320123021032
5210242101441223223042
62030525021000243530
762441242651400421
oct6015135770331116
91023604482502540
10212012200211022
116160a961966282
121b941474a705a6
13913b884442633
143a4d633a599b8
151979dcd0cc24c
hexc0d2efe1b24e

212012200211022 has 96 divisors (see below), whose sum is σ = 503489725390080. Its totient is φ = 64177039825920.

The previous prime is 212012200210981. The next prime is 212012200211023. The reversal of 212012200211022 is 220112002210212.

It is a happy number.

212012200211022 is a `hidden beast` number, since 212 + 0 + 1 + 220 + 0 + 211 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012200210986 and 212012200211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012200211023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5247747 + ... + 21250017.

It is an arithmetic number, because the mean of its divisors is an integer number (5244684639480).

Almost surely, 2212012200211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012200211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251744862695040).

212012200211022 is an abundant number, since it is smaller than the sum of its proper divisors (291477525179058).

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

212012200211022 is a wasteful number, since it uses less digits than its factorization.

212012200211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16003818 (or 16003815 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012200211022 its reverse (220112002210212), we get a palindrome (432124202421234).

The spelling of 212012200211022 in words is "two hundred twelve trillion, twelve billion, two hundred million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 1493 2958 2986 4437 4479 8874 8958 13437 25381 26874 43297 50762 76143 86594 129891 152286 228429 259782 389673 456858 736049 779346 1472098 2208147 4416294 6624441 13248882 16002271 32004542 48006813 96013626 144020439 272038607 288040878 464065859 544077214 816115821 928131718 1392197577 1632231642 2448347463 2784395154 4176592731 4896694926 7889119603 8353185462 15778239206 23667358809 23891390603 47334717618 47782781206 71002076427 71674171809 142004152854 143348343618 215022515427 406153640251 430045030854 692850327487 812307280502 1218460920753 1385700654974 2078550982461 2436921841506 3655382762259 4157101964922 6235652947383 7310765524518 11778455567279 12471305894766 23556911134558 35335366701837 70670733403674 106006100105511 212012200211022