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11220012001120 = 2551333131628203
BaseRepresentation
bin1010001101000101110011…
…0101000110011101100000
31110201121210221001100111111
42203101130311012131200
52432312041033013440
635510222524153104
72235422233300036
oct243213465063540
943647727040444
1011220012001120
1136364202a680a
12131261b398794
136350727604c0
142ab0a1384556
15146cd196a4ea
hexa345cd46760

11220012001120 has 96 divisors (see below), whose sum is σ = 28554933752352. Its totient is φ = 4141520658432.

The previous prime is 11220012001111. The next prime is 11220012001147. The reversal of 11220012001120 is 2110021002211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11220012001120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6076939 + ... + 7705141.

It is an arithmetic number, because the mean of its divisors is an integer number (297447226587).

Almost surely, 211220012001120 is an apocalyptic number.

11220012001120 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 11220012001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277466876176).

11220012001120 is an abundant number, since it is smaller than the sum of its proper divisors (17334921751232).

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

11220012001120 is a wasteful number, since it uses less digits than its factorization.

11220012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631544 (or 1631536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11220012001120 its reverse (2110021002211), we get a palindrome (13330033003331).

The spelling of 11220012001120 in words is "eleven trillion, two hundred twenty billion, twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 3313 6626 13252 16565 26504 33130 43069 53008 66260 86138 106016 132520 172276 215345 265040 344552 430690 530080 689104 861380 1378208 1628203 1722760 3256406 3445520 6512812 6891040 8141015 13025624 16282030 21166639 26051248 32564060 42333278 52102496 65128120 84666556 105833195 130256240 169333112 211666390 260512480 338666224 423332780 677332448 846665560 1693331120 3386662240 5394236539 10788473078 21576946156 26971182695 43153892312 53942365390 70125075007 86307784624 107884730780 140250150014 172615569248 215769461560 280500300028 350625375035 431538923120 561000600056 701250750070 863077846240 1122001200112 1402501500140 2244002400224 2805003000280 5610006000560 11220012001120