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1122221011120 = 2451110129343093
BaseRepresentation
bin10000010101001001100…
…101011011000010110000
310222021122111211002110121
4100111021211123002300
5121341302034323440
62215312522540024
7144035453130346
oct20251145330260
93867574732417
101122221011120
113a2a275605a0
121615b1667614
1381a9565cc71
143c45c739996
151e2d16d934a
hex1054995b0b0

1122221011120 has 160 divisors (see below), whose sum is σ = 2884420010304. Its totient is φ = 402651648000.

The previous prime is 1122221011097. The next prime is 1122221011123. The reversal of 1122221011120 is 211101222211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122221011094 and 1122221011103.

It is not an unprimeable number, because it can be changed into a prime (1122221011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26020294 + ... + 26063386.

Almost surely, 21122221011120 is an apocalyptic number.

1122221011120 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 1122221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442210005152).

1122221011120 is an abundant number, since it is smaller than the sum of its proper divisors (1762198999184).

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

1122221011120 is a wasteful number, since it uses less digits than its factorization.

1122221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43511 (or 43505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122221011120 its reverse (211101222211), we get a palindrome (1333322233331).

The spelling of 1122221011120 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 293 404 440 505 586 808 880 1010 1111 1172 1465 1616 2020 2222 2344 2930 3223 4040 4444 4688 5555 5860 6446 8080 8888 11110 11720 12892 16115 17776 22220 23440 25784 29593 32230 43093 44440 51568 59186 64460 86186 88880 118372 128920 147965 172372 215465 236744 257840 295930 325523 344744 430930 473488 474023 591860 651046 689488 861860 948046 1183720 1302092 1627615 1723720 1896092 2367440 2370115 2604184 3255230 3447440 3792184 4352393 4740230 5208368 6510460 7584368 8704786 9480460 12626249 13020920 17409572 18960920 21761965 25252498 26041840 34819144 37921840 43523930 47876323 50504996 63131245 69638288 87047860 95752646 101009992 126262490 138888739 174095720 191505292 202019984 239381615 252524980 277777478 348191440 383010584 478763230 505049960 555554956 694443695 766021168 957526460 1010099920 1111109912 1275251149 1388887390 1915052920 2222219824 2550502298 2777774780 3830105840 5101004596 5555549560 6376255745 10202009192 11111099120 12752511490 14027762639 20404018384 25505022980 28055525278 51010045960 56111050556 70138813195 102020091920 112222101112 140277626390 224444202224 280555252780 561110505560 1122221011120