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212012201112 = 233471511244729
BaseRepresentation
bin1100010101110011101…
…0010111010010011000
3202021020111100201121220
43011130322113102120
511433200110413422
6241221433132040
721213600655335
oct3053472272230
9667214321556
10212012201112
1181a063a6738
123510a55a020
1316cb9b6639a
14a39359798c
1557acd04e5c
hex315ce97498

212012201112 has 64 divisors (see below), whose sum is σ = 544893004800. Its totient is φ = 68708985600.

The previous prime is 212012201111. The next prime is 212012201113. The reversal of 212012201112 is 211102210212.

212012201112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212012201111) and next prime (212012201113).

It is a junction number, because it is equal to n+sod(n) for n = 212012201091 and 212012201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012201111) by changing a digit.

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, 452037 + ... + 792692.

It is an arithmetic number, because the mean of its divisors is an integer number (8513953200).

Almost surely, 2212012201112 is an apocalyptic number.

It is an amenable number.

212012201112 is an abundant number, since it is smaller than the sum of its proper divisors (332880803688).

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

212012201112 is a wasteful number, since it uses less digits than its factorization.

212012201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244936 (or 1244932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212012201112 its reverse (211102210212), we get a palindrome (423114411324).

The spelling of 212012201112 in words is "two hundred twelve billion, twelve million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 151 188 282 302 376 453 564 604 906 1128 1208 1812 3624 7097 14194 21291 28388 42582 56776 85164 170328 1244729 2489458 3734187 4978916 7468374 9957832 14936748 29873496 58502263 117004526 175506789 187954079 234009052 351013578 375908158 468018104 563862237 702027156 751816316 1127724474 1404054312 1503632632 2255448948 4510897896 8833841713 17667683426 26501525139 35335366852 53003050278 70670733704 106006100556 212012201112