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212012002000120 = 23572332921118323
BaseRepresentation
bin110000001101001011100100…
…000100010011110011111000
31000210200011000221120221100211
4300031023210010103303320
5210242101040003000440
62030524545200040504
762441235023544160
oct6015134404236370
91023604027527324
10212012002000120
116160a86aa95513
121b94141a603134
13913b85236378a
143a4d6155c15a0
151979dba9c7eea
hexc0d2e4113cf8

212012002000120 has 64 divisors (see below), whose sum is σ = 568876924638720. Its totient is φ = 69529401896064.

The previous prime is 212012002000091. The next prime is 212012002000133. The reversal of 212012002000120 is 21000200210212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212012002000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16460552722 + ... + 16460565601.

It is an arithmetic number, because the mean of its divisors is an integer number (8888701947480).

Almost surely, 2212012002000120 is an apocalyptic number.

212012002000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012002000120 is an abundant number, since it is smaller than the sum of its proper divisors (356864922638600).

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

212012002000120 is a wasteful number, since it uses less digits than its factorization.

212012002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32921118364 (or 32921118360 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212012002000120 its reverse (21000200210212), we get a palindrome (233012202210332).

The spelling of 212012002000120 in words is "two hundred twelve trillion, twelve billion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 32921118323 65842236646 131684473292 164605591615 230447828261 263368946584 329211183230 460895656522 658422366460 757185721429 921791313044 1152239141305 1316844732920 1514371442858 1843582626088 2304478282610 3028742885716 3785928607145 4608956565220 5300300050003 6057485771432 7571857214290 9217913130440 10600600100006 15143714428580 21201200200012 26501500250015 30287428857160 42402400400024 53003000500030 106006001000060 212012002000120