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1112112021120 = 2735827700393
BaseRepresentation
bin10000001011101111000…
…010101011111010000000
310221022112222222012011120
4100023233002223322000
5121210101134133440
62210521444112240
7143230113131322
oct20135702537200
93838488865146
101112112021120
1139970a274801
1215b650095680
1380b44202089
143bb7dd25612
151dddde9cdd0
hex102ef0abe80

1112112021120 has 128 divisors (see below), whose sum is σ = 3549148539840. Its totient is φ = 296204181504.

The previous prime is 1112112021109. The next prime is 1112112021121. The reversal of 1112112021120 is 211202112111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11121120211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112112021120.

It is not an unprimeable number, because it can be changed into a prime (1112112021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237644 + ... + 1938036.

Almost surely, 21112112021120 is an apocalyptic number.

1112112021120 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 1112112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774574269920).

1112112021120 is an abundant number, since it is smaller than the sum of its proper divisors (2437036518720).

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

1112112021120 is an equidigital number, since it uses as much as digits as its factorization.

1112112021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701242 (or 701230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1112112021120 its reverse (211202112111), we get a palindrome (1323314133231).

Subtracting from 1112112021120 its reverse (211202112111), we obtain a palindrome (900909909009).

The spelling of 1112112021120 in words is "one trillion, one hundred twelve billion, one hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 827 960 1654 1920 2481 3308 4135 4962 6616 8270 9924 12405 13232 16540 19848 24810 26464 33080 39696 49620 52928 66160 79392 99240 105856 132320 158784 198480 264640 317568 396960 529280 700393 793920 1400786 1587840 2101179 2801572 3501965 4202358 5603144 7003930 8404716 10505895 11206288 14007860 16809432 21011790 22412576 28015720 33618864 42023580 44825152 56031440 67237728 84047160 89650304 112062880 134475456 168094320 224125760 268950912 336188640 448251520 579225011 672377280 1158450022 1344754560 1737675033 2316900044 2896125055 3475350066 4633800088 5792250110 6950700132 8688375165 9267600176 11584500220 13901400264 17376750330 18535200352 23169000440 27802800528 34753500660 37070400704 46338000880 55605601056 69507001320 74140801408 92676001760 111211202112 139014002640 185352003520 222422404224 278028005280 370704007040 556056010560 1112112021120