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1112122200112 = 247116017192089
BaseRepresentation
bin10000001011101111101…
…001100001000000110000
310221022120201010100010021
4100023233221201000300
5121210111240400422
62210522450213224
7143230265504560
oct20135751410060
93838521110107
101112122200112
11399714a973a0
1215b653584214
1380b46357251
143bb81414da0
151ddded0ddc7
hex102efa61030

1112122200112 has 160 divisors (see below), whose sum is σ = 2695927449600. Its totient is φ = 431764992000.

The previous prime is 1112122200103. The next prime is 1112122200113. The reversal of 1112122200112 is 2110022212111.

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

It is not an unprimeable number, because it can be changed into a prime (1112122200113) 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, 532369564 + ... + 532371652.

It is an arithmetic number, because the mean of its divisors is an integer number (16849546560).

Almost surely, 21112122200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112122200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347963724800).

1112122200112 is an abundant number, since it is smaller than the sum of its proper divisors (1583805249488).

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

1112122200112 is a wasteful number, since it uses less digits than its factorization.

1112122200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3429 counting only the distinct ones).

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

Adding to 1112122200112 its reverse (2110022212111), we get a palindrome (3222144412223).

The spelling of 1112122200112 in words is "one trillion, one hundred twelve billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 601 616 719 1202 1232 1438 2089 2404 2876 4178 4207 4808 5033 5752 6611 7909 8356 8414 9616 10066 11504 13222 14623 15818 16712 16828 20132 22979 26444 29246 31636 33424 33656 40264 45958 46277 52888 55363 58492 63272 67312 80528 91916 92554 105776 110726 116984 126544 160853 183832 185108 221452 233968 321706 367664 370216 432119 442904 643412 740432 864238 885808 1255489 1286824 1501991 1728476 2510978 2573648 3003982 3024833 3456952 4753309 5021956 6007964 6049666 6913904 8788423 9506618 10043912 10513937 12015928 12099332 13810379 16521901 17576846 19013236 20087824 21027874 24031856 24198664 27620758 33043802 33273163 35153692 38026472 42055748 48397328 55241516 66087604 66546326 70307384 76052944 84111496 96672653 110483032 115653307 132175208 133092652 140614768 168222992 193345306 220966064 231306614 264350416 266185304 386690612 462613228 532370608 773381224 902696591 925226456 1546762448 1805393182 1850452912 3610786364 6318876137 7221572728 9929662501 12637752274 14443145456 19859325002 25275504548 39718650004 50551009096 69507637507 79437300008 101102018192 139015275014 158874600016 278030550028 556061100056 1112122200112