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12200121120120 = 2335467217703803
BaseRepresentation
bin1011000110001000111111…
…1000101011010101111000
31121012022122102021022212020
42301202033320223111320
53044341322001320440
641540354104114440
72366300242324263
oct261421770532570
947168572238766
1012200121120120
11398405135237a
12145056ba65a20
136a660ab3876b
143026bbbcbcda
15162546d1c3d0
hexb188fe2b578

12200121120120 has 64 divisors (see below), whose sum is σ = 36678736897920. Its totient is φ = 3246399095424.

The previous prime is 12200121120079. The next prime is 12200121120133. The reversal of 12200121120120 is 2102112100221.

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 12200121120120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108795862 + ... + 108907941.

It is an arithmetic number, because the mean of its divisors is an integer number (573105264030).

Almost surely, 212200121120120 is an apocalyptic number.

12200121120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121120120 is an abundant number, since it is smaller than the sum of its proper divisors (24478615777800).

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

12200121120120 is a wasteful number, since it uses less digits than its factorization.

12200121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217704284 (or 217704280 counting only the distinct ones).

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

Adding to 12200121120120 its reverse (2102112100221), we get a palindrome (14302233220341).

The spelling of 12200121120120 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 934 1401 1868 2335 2802 3736 4670 5604 7005 9340 11208 14010 18680 28020 56040 217703803 435407606 653111409 870815212 1088519015 1306222818 1741630424 2177038030 2612445636 3265557045 4354076060 5224891272 6531114090 8708152120 13062228180 26124456360 101667676001 203335352002 305003028003 406670704004 508338380005 610006056006 813341408008 1016676760010 1220012112012 1525015140015 2033353520020 2440024224024 3050030280030 4066707040040 6100060560060 12200121120120