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1212221100120 = 2335107142966067
BaseRepresentation
bin10001101000111110000…
…000100001000001011000
311021212221202212022200020
4101220332000201001120
5124330112100200440
62324515305110440
7153402653224362
oct21507600410130
94255852768606
101212221100120
11428111232538
12176b2a488420
138a4094b38b4
144295965bd32
15217eca823d0
hex11a3e021058

1212221100120 has 128 divisors (see below), whose sum is σ = 3673275091200. Its totient is φ = 320008905216.

The previous prime is 1212221100049. The next prime is 1212221100121. The reversal of 1212221100120 is 210011222121.

It is a super-2 number, since 2×12122211001202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212221100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212221100121) 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, 18315327 + ... + 18381393.

It is an arithmetic number, because the mean of its divisors is an integer number (28697461650).

Almost surely, 21212221100120 is an apocalyptic number.

1212221100120 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 1212221100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836637545600).

1212221100120 is an abundant number, since it is smaller than the sum of its proper divisors (2461053991080).

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

1212221100120 is a wasteful number, since it uses less digits than its factorization.

1212221100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67617 (or 67613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212221100120 its reverse (210011222121), we get a palindrome (1422232322241).

The spelling of 1212221100120 in words is "one trillion, two hundred twelve billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1429 1605 2140 2568 2858 3210 4280 4287 5716 6420 7145 8574 11432 12840 14290 17148 21435 28580 34296 42870 57160 66067 85740 132134 152903 171480 198201 264268 305806 330335 396402 458709 528536 611612 660670 764515 792804 917418 991005 1223224 1321340 1529030 1585608 1834836 1982010 2293545 2642680 3058060 3669672 3964020 4587090 6116120 7069169 7928040 9174180 14138338 18348360 21207507 28276676 35345845 42415014 56553352 70691690 84830028 94409743 106037535 141383380 169660056 188819486 212075070 282766760 283229229 377638972 424150140 472048715 566458458 755277944 848300280 944097430 1132916916 1416146145 1888194860 2265833832 2832292290 3776389720 5664584580 10101842501 11329169160 20203685002 30305527503 40407370004 50509212505 60611055006 80814740008 101018425010 121222110012 151527637515 202036850020 242444220024 303055275030 404073700040 606110550060 1212221100120