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21121120111212 = 22321160787868471
BaseRepresentation
bin1001100110101101001001…
…10111001000101001101100
32202210011022011202002100200
410303112210313020221230
510232022023222024322
6112530524132553500
74306644021520452
oct463264467105154
982704264662320
1021121120111212
1168034647491a0
1224514b8482890
13ba2936839524
145303a66a29d2
1526961eaac8ac
hex1335a4dc8a6c

21121120111212 has 72 divisors (see below), whose sum is σ = 58339041825792. Its totient is φ = 6389795138400.

The previous prime is 21121120111199. The next prime is 21121120111213. The reversal of 21121120111212 is 21211102112112.

It is a happy number.

21121120111212 is a `hidden beast` number, since 211 + 211 + 20 + 1 + 11 + 212 = 666.

It is a super-2 number, since 2×211211201112122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21121120111213) 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, 43693864 + ... + 44174607.

Almost surely, 221121120111212 is an apocalyptic number.

21121120111212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121120111212 is an abundant number, since it is smaller than the sum of its proper divisors (37217921714580).

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

21121120111212 is a wasteful number, since it uses less digits than its factorization.

21121120111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87869099 (or 87869094 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21121120111212 its reverse (21211102112112), we get a palindrome (42332222223324).

Subtracting 21121120111212 from its reverse (21211102112112), we obtain a square (89982000900 = 2999702).

The spelling of 21121120111212 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 607 1214 1821 2428 3642 5463 6677 7284 10926 13354 20031 21852 26708 40062 60093 80124 120186 240372 87868471 175736942 263605413 351473884 527210826 790816239 966553181 1054421652 1581632478 1933106362 2899659543 3163264956 3866212724 5799319086 8698978629 11598638172 17397957258 34795914516 53336161897 106672323794 160008485691 213344647588 320016971382 480025457073 586697780867 640033942764 960050914146 1173395561734 1760093342601 1920101828292 2346791123468 3520186685202 5280280027803 7040373370404 10560560055606 21121120111212