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212001313212 = 2232131033438523
BaseRepresentation
bin1100010101110001000…
…0110101000110111100
3202021012201212120020100
43011130100311012330
511433134314010322
6241220403521100
721213406300233
oct3053420650674
9667181776210
10212001313212
1181a0023a477
1235106989190
1316cb7823640
14a391d61b1a
1557abda3dac
hex315c4351bc

212001313212 has 72 divisors (see below), whose sum is σ = 577674681584. Its totient is φ = 65167877376.

The previous prime is 212001313201. The next prime is 212001313213. The reversal of 212001313212 is 212313100212.

212001313212 is a `hidden beast` number, since 212 + 0 + 0 + 131 + 321 + 2 = 666.

It is a super-2 number, since 2×2120013132122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001313213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264183 + ... + 702705.

Almost surely, 2212001313212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288837340792).

212001313212 is an abundant number, since it is smaller than the sum of its proper divisors (365673368372).

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

212001313212 is a wasteful number, since it uses less digits than its factorization.

212001313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439579 (or 439574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212001313212 its reverse (212313100212), we get a palindrome (424314413424).

The spelling of 212001313212 in words is "two hundred twelve billion, one million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1033 2066 3099 4132 6198 9297 12396 13429 18594 26858 37188 40287 53716 80574 120861 161148 241722 438523 483444 877046 1315569 1754092 2631138 3946707 5262276 5700799 7893414 11401598 15786828 17102397 22803196 34204794 51307191 68409588 102614382 205228764 452994259 905988518 1358982777 1811977036 2717965554 4076948331 5435931108 5888925367 8153896662 11777850734 16307793324 17666776101 23555701468 35333552202 53000328303 70667104404 106000656606 212001313212