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1112233220120 = 235114399758963
BaseRepresentation
bin10000001011110110010…
…001000001100000011000
310221022212110000201221102
4100023312101001200120
5121210323201020440
62210541453530532
7143233114245221
oct20136621014030
93838773021842
101112233220120
11399771725370
1215b6847a3a48
1380b63358969
143bb92074248
151dde993db15
hex102f6441818

1112233220120 has 128 divisors (see below), whose sum is σ = 2796365341440. Its totient is φ = 394639741440.

The previous prime is 1112233220117. The next prime is 1112233220123. The reversal of 1112233220120 is 210223322111.

It is an interprime number because it is at equal distance from previous prime (1112233220117) and next prime (1112233220123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1112233220092 and 1112233220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112233220123) 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, 18833759 + ... + 18892721.

It is an arithmetic number, because the mean of its divisors is an integer number (21846604230).

Almost surely, 21112233220120 is an apocalyptic number.

1112233220120 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 1112233220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398182670720).

1112233220120 is an abundant number, since it is smaller than the sum of its proper divisors (1684132121320).

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

1112233220120 is a wasteful number, since it uses less digits than its factorization.

1112233220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60025 (or 60021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1112233220120 its reverse (210223322111), we get a palindrome (1322456542231).

The spelling of 1112233220120 in words is "one trillion, one hundred twelve billion, two hundred thirty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 997 1720 1892 1994 2365 3784 3988 4730 4985 7976 9460 9970 10967 18920 19940 21934 39880 42871 43868 54835 58963 85742 87736 109670 117926 171484 214355 219340 235852 294815 342968 428710 438680 471581 471704 589630 648593 857420 943162 1179260 1297186 1714840 1886324 2357905 2358520 2535409 2594372 3242965 3772648 4715810 5070818 5188744 6485930 9431620 10141636 12677045 12971860 18863240 20283272 25354090 25943720 27889499 50708180 55778998 58786111 101416360 111557996 117572222 139447495 223115992 235144444 278894990 293930555 470288888 557789980 587861110 646647221 1115579960 1175722220 1293294442 2351444440 2527802773 2586588884 3233236105 5055605546 5173177768 6466472210 10111211092 12639013865 12932944420 20222422184 25278027730 25865888840 27805830503 50556055460 55611661006 101112110920 111223322012 139029152515 222446644024 278058305030 556116610060 1112233220120