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1121221022220 = 2232513642174623
BaseRepresentation
bin10000010100001101111…
…110110001001000001100
310222012001211011101120200
4100110031332301020030
5121332230040202340
62215025401413500
7144001621303665
oct20241576611014
93865054141520
101121221022220
113a2564045092
1216137279a290
1381966427b60
143c3a59d236c
151e273a0b330
hex1050dfb120c

1121221022220 has 144 divisors (see below), whose sum is σ = 3663274847232. Its totient is φ = 275946186240.

The previous prime is 1121221022219. The next prime is 1121221022237. The reversal of 1121221022220 is 222201221211.

It is a happy number.

1121221022220 is a `hidden beast` number, since 1 + 1 + 212 + 210 + 22 + 220 = 666.

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 = 1121221022193 and 1121221022202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14987829 + ... + 15062451.

Almost surely, 21121221022220 is an apocalyptic number.

1121221022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121221022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831637423616).

1121221022220 is an abundant number, since it is smaller than the sum of its proper divisors (2542053825012).

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

1121221022220 is a wasteful number, since it uses less digits than its factorization.

1121221022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81072 (or 81067 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1121221022220 its reverse (222201221211), we get a palindrome (1343422243431).

The spelling of 1121221022220 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6421 12842 19263 25684 32105 38526 57789 64210 74623 77052 83473 96315 115578 128420 149246 166946 192630 223869 231156 250419 288945 298492 333892 373115 385260 417365 447738 500838 577890 671607 746230 751257 834730 895476 970099 1001676 1119345 1155780 1252095 1343214 1492460 1502514 1669460 1940198 2238690 2504190 2686428 2910297 3005028 3358035 3756285 3880396 4477380 4850495 5008380 5820594 6716070 7512570 8730891 9700990 11641188 13432140 14551485 15025140 17461782 19401980 29102970 34923564 43654455 58205940 87308910 174617820 479154283 958308566 1437462849 1916617132 2395771415 2874925698 4312388547 4791542830 5749851396 6229005679 7187314245 8624777094 9583085660 12458011358 14374628490 17249554188 18687017037 21561942735 24916022716 28749256980 31145028395 37374034074 43123885470 56061051111 62290056790 74748068148 86247770940 93435085185 112122102222 124580113580 186870170370 224244204444 280305255555 373740340740 560610511110 1121221022220