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2121221101120 = 265111015966531
BaseRepresentation
bin11110110111100010101…
…000010101011001000000
321111210020112201211021221
4132313202220111121000
5234223230100213440
64302250413524424
7306152556602032
oct36674250253100
97453215654257
102121221101120
11748672014290
122a31347a3714
13125051720584
147494c059c52
153a2a028ad4a
hex1ede2a15640

2121221101120 has 112 divisors (see below), whose sum is σ = 5564912798016. Its totient is φ = 763715840000.

The previous prime is 2121221101067. The next prime is 2121221101187. The reversal of 2121221101120 is 211011221212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2121221101094 and 2121221101103.

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 15 ways as a sum of consecutive naturals, for example, 2627746 + ... + 3338785.

Almost surely, 22121221101120 is an apocalyptic number.

2121221101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121221101120 is an abundant number, since it is smaller than the sum of its proper divisors (3443691696896).

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

2121221101120 is a wasteful number, since it uses less digits than its factorization.

2121221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966660 (or 5966650 counting only the distinct ones).

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

Adding to 2121221101120 its reverse (211011221212), we get a palindrome (2332232322332).

The spelling of 2121221101120 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 704 808 880 1010 1111 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 8080 8888 11110 16160 17776 22220 32320 35552 44440 71104 88880 177760 355520 5966531 11933062 23866124 29832655 47732248 59665310 65631841 95464496 119330620 131263682 190928992 238661240 262527364 328159205 381857984 477322480 525054728 602619631 656318410 954644960 1050109456 1205239262 1312636820 1909289920 2100218912 2410478524 2625273640 3013098155 4200437824 4820957048 5250547280 6026196310 6628815941 9641914096 10501094560 12052392620 13257631882 19283828192 21002189120 24104785240 26515263764 33144079705 38567656384 48209570480 53030527528 66288159410 96419140960 106061055056 132576318820 192838281920 212122110112 265152637640 424244220224 530305275280 1060610550560 2121221101120