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1200220101120 = 2935156278659
BaseRepresentation
bin10001011101110010101…
…100010101101000000000
311020201222101212101221210
4101131302230111220000
5124131022321213440
62315212402050120
7152466400350165
oct21356254255000
94221871771853
101200220101120
11423012a59347
1217473b349940
138924608c461
144213b86006c
15213491b5a80
hex11772b15a00

1200220101120 has 80 divisors (see below), whose sum is σ = 3836953660320. Its totient is φ = 320058691584.

The previous prime is 1200220101109. The next prime is 1200220101149. The reversal of 1200220101120 is 211010220021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12002201011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200220101096 and 1200220101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78131650 + ... + 78147009.

It is an arithmetic number, because the mean of its divisors is an integer number (47961920754).

Almost surely, 21200220101120 is an apocalyptic number.

1200220101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200220101120 is an abundant number, since it is smaller than the sum of its proper divisors (2636733559200).

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

1200220101120 is an equidigital number, since it uses as much as digits as its factorization.

1200220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156278685 (or 156278669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200220101120 its reverse (211010220021), we get a palindrome (1411230321141).

The spelling of 1200220101120 in words is "one trillion, two hundred billion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 156278659 312557318 468835977 625114636 781393295 937671954 1250229272 1562786590 1875343908 2344179885 2500458544 3125573180 3750687816 4688359770 5000917088 6251146360 7501375632 9376719540 10001834176 12502292720 15002751264 18753439080 20003668352 25004585440 30005502528 37506878160 40007336704 50009170880 60011005056 75013756320 80014673408 100018341760 120022010112 150027512640 200036683520 240044020224 300055025280 400073367040 600110050560 1200220101120