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1110220000120 = 2357112912429691
BaseRepresentation
bin10000001001111110010…
…001001100101101111000
310221010200010210120021201
4100021332101030231320
5121142212310000440
62210010015343544
7143132200203160
oct20117621145570
93833603716251
101110220000120
11398929279390
1215b202521bb4
138090223321a
143ba409375a0
151dd2cd1919a
hex1027e44cb78

1110220000120 has 128 divisors (see below), whose sum is σ = 3221776166400. Its totient is φ = 334110067200.

The previous prime is 1110220000111. The next prime is 1110220000171. The reversal of 1110220000120 is 210000220111.

It is a super-3 number, since 3×11102200001203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110220000097 and 1110220000106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6125526 + ... + 6304165.

It is an arithmetic number, because the mean of its divisors is an integer number (25170126300).

Almost surely, 21110220000120 is an apocalyptic number.

1110220000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110220000120 is an abundant number, since it is smaller than the sum of its proper divisors (2111556166280).

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

1110220000120 is a wasteful number, since it uses less digits than its factorization.

1110220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429749 (or 12429745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1110220000120 its reverse (210000220111), we get a palindrome (1320220220231).

The spelling of 1110220000120 in words is "one trillion, one hundred ten billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 154 203 220 232 280 290 308 319 385 406 440 580 616 638 770 812 1015 1160 1276 1540 1595 1624 2030 2233 2552 3080 3190 4060 4466 6380 8120 8932 11165 12760 17864 22330 44660 89320 12429691 24859382 49718764 62148455 87007837 99437528 124296910 136726601 174015674 248593820 273453202 348031348 360461039 435039185 497187640 546906404 683633005 696062696 720922078 870078370 957086207 1093812808 1367266010 1441844156 1740156740 1802305195 1914172414 2523227273 2734532020 2883688312 3480313480 3604610390 3828344828 3965071429 4785431035 5046454546 5469064040 7209220780 7656689656 7930142858 9570862070 10092909092 12616136365 14418441560 15860285716 19141724140 19825357145 20185818184 25232272730 27755500003 31720571432 38283448280 39650714290 50464545460 55511000006 79301428580 100929090920 111022000012 138777500015 158602857160 222044000024 277555000030 555110000060 1110220000120