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212111221220 = 225174115216013
BaseRepresentation
bin1100010110001011010…
…0000110000111100100
3202021111101200110200022
43011202310012013210
511433400433034340
6241235331334312
721216212426603
oct3054264060744
9667441613608
10212111221220
1181a57288a38
1235137751398
1317004525b72
14a3a27b1a3a
1557b68643b5
hex3162d061e4

212111221220 has 48 divisors (see below), whose sum is σ = 483138876528. Its totient is φ = 77905981440.

The previous prime is 212111221211. The next prime is 212111221297. The reversal of 212111221220 is 22122111212.

It can be written as a sum of positive squares in 8 ways, for example, as 4720239616 + 207390981604 = 68704^2 + 455402^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 7594067 + ... + 7621946.

It is an arithmetic number, because the mean of its divisors is an integer number (10065393261).

Almost surely, 2212111221220 is an apocalyptic number.

212111221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111221220 is an abundant number, since it is smaller than the sum of its proper divisors (271027655308).

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

212111221220 is a wasteful number, since it uses less digits than its factorization.

212111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15216080 (or 15216078 counting only the distinct ones).

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

Adding to 212111221220 its reverse (22122111212), we get a palindrome (234233332432).

The spelling of 212111221220 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 15216013 30432026 60864052 76080065 152160130 258672221 304320260 517344442 623856533 1034688884 1247713066 1293361105 2495426132 2586722210 3119282665 5173444420 6238565330 10605561061 12477130660 21211122122 42422244244 53027805305 106055610610 212111221220