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1221222121120 = 255172191390027
BaseRepresentation
bin10001110001010110100…
…000101011111010100000
311022202012001212120020101
4101301112200223322200
5130002030330333440
62333004404152144
7154142010520201
oct21612640537240
94282161776211
101221222121120
11430a10060871
12178820998654
138b212230821
1443170c5b5a8
1521b77db169a
hex11c5682bea0

1221222121120 has 144 divisors (see below), whose sum is σ = 3226143785760. Its totient is φ = 435556306944.

The previous prime is 1221222121087. The next prime is 1221222121151. The reversal of 1221222121120 is 211212221221.

It is a super-2 number, since 2×12212221211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183547 + ... + 1573573.

It is an arithmetic number, because the mean of its divisors is an integer number (22403776290).

Almost surely, 21221222121120 is an apocalyptic number.

1221222121120 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 1221222121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613071892880).

1221222121120 is an abundant number, since it is smaller than the sum of its proper divisors (2004921664640).

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

1221222121120 is a wasteful number, since it uses less digits than its factorization.

1221222121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390095 (or 1390070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1221222121120 its reverse (211212221221), we get a palindrome (1432434342341).

The spelling of 1221222121120 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 289 304 323 340 380 544 578 608 646 680 760 1156 1292 1360 1445 1520 1615 2312 2584 2720 2890 3040 3230 4624 5168 5491 5780 6460 9248 10336 10982 11560 12920 21964 23120 25840 27455 43928 46240 51680 54910 87856 109820 175712 219640 439280 878560 1390027 2780054 5560108 6950135 11120216 13900270 22240432 23630459 26410513 27800540 44480864 47260918 52821026 55601080 94521836 105642052 111202160 118152295 132052565 189043672 211284104 222404320 236304590 264105130 378087344 401717803 422568208 448978721 472609180 528210260 756174688 803435606 845136416 897957442 945218360 1056420520 1606871212 1795914884 1890436720 2008589015 2112841040 2244893605 3213742424 3591829768 3780873440 4017178030 4225682080 4489787210 6427484848 7183659536 7632638257 8034356060 8979574420 12854969696 14367319072 15265276514 16068712120 17959148840 30530553028 32137424240 35918297680 38163191285 61061106056 64274848480 71836595360 76326382570 122122212112 152652765140 244244424224 305305530280 610611060560 1221222121120