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1112022221220 = 2232547202964783
BaseRepresentation
bin10000001011101001101…
…100001000000110100100
310221022022201222212212100
4100023221230020012210
5121204410142034340
62210504515252100
7143224642631121
oct20135154100644
93838281885770
101112022221220
1139967360a809
1215b625baa030
1380b2b720241
143bb7202b748
151ddd6160830
hex102e9b081a4

1112022221220 has 144 divisors (see below), whose sum is σ = 3446653916160. Its totient is φ = 290082394368.

The previous prime is 1112022221197. The next prime is 1112022221239. The reversal of 1112022221220 is 221222202111.

It is a happy number.

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 = 1112022221193 and 1112022221202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17132949 + ... + 17197731.

It is an arithmetic number, because the mean of its divisors is an integer number (23935096640).

Almost surely, 21112022221220 is an apocalyptic number.

1112022221220 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 1112022221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723326958080).

1112022221220 is an abundant number, since it is smaller than the sum of its proper divisors (2334631694940).

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

1112022221220 is a wasteful number, since it uses less digits than its factorization.

1112022221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66874 (or 66869 counting only the distinct ones).

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

Adding to 1112022221220 its reverse (221222202111), we get a palindrome (1333244423331).

The spelling of 1112022221220 in words is "one trillion, one hundred twelve billion, twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2029 2115 2820 4058 4230 6087 8116 8460 10145 12174 18261 20290 24348 30435 36522 40580 60870 64783 73044 91305 95363 121740 129566 182610 190726 194349 259132 286089 323915 365220 381452 388698 476815 572178 583047 647830 777396 858267 953630 971745 1144356 1166094 1295660 1430445 1716534 1907260 1943490 2332188 2860890 2915235 3044801 3433068 3886980 4291335 5721780 5830470 6089602 8582670 9134403 11660940 12179204 15224005 17165340 18268806 27403209 30448010 36537612 45672015 54806418 60896020 91344030 109612836 131444707 137016045 182688060 262889414 274032090 394334121 525778828 548064180 657223535 788668242 1183002363 1314447070 1577336484 1971670605 2366004726 2628894140 3943341210 4732009452 5915011815 6177901229 7886682420 11830023630 12355802458 18533703687 23660047260 24711604916 30889506145 37067407374 55601111061 61779012290 74134814748 92668518435 111202222122 123558024580 185337036870 222404444244 278005555305 370674073740 556011110610 1112022221220