Search a number
-
+
1212211121220 = 22325111514054489
BaseRepresentation
bin10001101000111101011…
…010011100110001000100
311021212221002002100012100
4101220331122130301010
5124330102021334340
62324514311152100
7153402502343361
oct21507532346104
94255832070170
101212211121220
11428106637210
12176b27075630
138a4073cb818
14429581c1468
15217ebc60830
hex11a3d69cc44

1212211121220 has 144 divisors (see below), whose sum is σ = 4037882808960. Its totient is φ = 291923136000.

The previous prime is 1212211121203. The next prime is 1212211121237. The reversal of 1212211121220 is 221211122121.

1212211121220 is a `hidden beast` number, since 1 + 212 + 211 + 1 + 21 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1212211121203) and next prime (1212211121237).

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

It is a junction number, because it is equal to n+sod(n) for n = 1212211121193 and 1212211121202.

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 47 ways as a sum of consecutive naturals, for example, 1728265 + ... + 2326224.

It is an arithmetic number, because the mean of its divisors is an integer number (28040852840).

Almost surely, 21212211121220 is an apocalyptic number.

1212211121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212211121220 is an abundant number, since it is smaller than the sum of its proper divisors (2825671687740).

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

1212211121220 is a wasteful number, since it uses less digits than its factorization.

1212211121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054666 (or 4054661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1212211121220 its reverse (221211122121), we get a palindrome (1433422243341).

Subtracting from 1212211121220 its reverse (221211122121), we obtain a palindrome (990999999099).

The spelling of 1212211121220 in words is "one trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 755 906 990 1359 1510 1661 1812 1980 2265 2718 3020 3322 4530 4983 5436 6644 6795 8305 9060 9966 13590 14949 16610 19932 24915 27180 29898 33220 49830 59796 74745 99660 149490 298980 4054489 8108978 12163467 16217956 20272445 24326934 36490401 40544890 44599379 48653868 60817335 72980802 81089780 89198758 121634670 133798137 145961604 178397516 182452005 222996895 243269340 267596274 364904010 401394411 445993790 535192548 612227839 668990685 729808020 802788822 891987580 1224455678 1337981370 1605577644 1836683517 2006972055 2448911356 2675962740 3061139195 3673367034 4013944110 5510050551 6122278390 6734506229 7346734068 8027888220 9183417585 11020101102 12244556780 13469012458 18366835170 20203518687 22040202204 26938024916 27550252755 33672531145 36733670340 40407037374 55100505510 60610556061 67345062290 80814074748 101017593435 110201011020 121221112122 134690124580 202035186870 242442224244 303052780305 404070373740 606105560610 1212211121220