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212110212212000 = 2553113469270381
BaseRepresentation
bin110000001110100111000001…
…110110100010010100100000
31000211000112112101102121212122
4300032213001312202110200
5210300203203311241000
62031042030345443412
762451312535556414
oct6016470166422440
91024015471377778
10212110212212000
1161648488101283
121b958468aa0568
139147ba411a29b
143a54290a66d44
15197c717a25085
hexc0e9c1da2520

212110212212000 has 96 divisors (see below), whose sum is σ = 525766781829744. Its totient is φ = 84093252096000.

The previous prime is 212110212211987. The next prime is 212110212212011. The reversal of 212110212212000 is 212212011212.

It can be written as a sum of positive squares in 8 ways, for example, as 8858314069264 + 203251898142736 = 2976292^2 + 14256644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212110212212000.

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 15 ways as a sum of consecutive naturals, for example, 234183191 + ... + 235087190.

Almost surely, 2212110212212000 is an apocalyptic number.

212110212212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110212212000 is an abundant number, since it is smaller than the sum of its proper divisors (313656569617744).

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

212110212212000 is a wasteful number, since it uses less digits than its factorization.

212110212212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469270519 (or 469270501 counting only the distinct ones).

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

Adding to 212110212212000 its reverse (212212011212), we get a palindrome (212322424223212).

The spelling of 212110212212000 in words is "two hundred twelve trillion, one hundred ten billion, two hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 800 904 1000 1130 1808 2000 2260 2825 3616 4000 4520 5650 9040 11300 14125 18080 22600 28250 45200 56500 90400 113000 226000 452000 469270381 938540762 1877081524 2346351905 3754163048 4692703810 7508326096 9385407620 11731759525 15016652192 18770815240 23463519050 37541630480 46927038100 53027553053 58658797625 75083260960 93854076200 106055106106 117317595250 187708152400 212110212212 234635190500 265137765265 375416304800 424220424424 469270381000 530275530530 848440848848 938540762000 1060551061060 1325688826325 1696881697696 1877081524000 2121102122120 2651377652650 4242204244240 5302755305300 6628444131625 8484408488480 10605510610600 13256888263250 21211021221200 26513776526500 42422042442400 53027553053000 106055106106000 212110212212000