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1200120112002 = 2371729173335029
BaseRepresentation
bin10001011101101100101…
…110111010001110000010
311020201201102201102200010
4101131230232322032002
5124130321222041002
62315154431005350
7152464044431550
oct21355456721602
94221642642603
101200120112002
11422a71575009
12174711969856
138922b4508b6
144212c472bd0
152134051446c
hex1176cbba382

1200120112002 has 128 divisors (see below), whose sum is σ = 3022024204800. Its totient is φ = 309791010816.

The previous prime is 1200120111919. The next prime is 1200120112007. The reversal of 1200120112002 is 2002110210021.

It is not an unprimeable number, because it can be changed into a prime (1200120112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3414624 + ... + 3749652.

It is an arithmetic number, because the mean of its divisors is an integer number (23609564100).

Almost surely, 21200120112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200120112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511012102400).

1200120112002 is an abundant number, since it is smaller than the sum of its proper divisors (1821904092798).

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

1200120112002 is a wasteful number, since it uses less digits than its factorization.

1200120112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335260.

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

Adding to 1200120112002 its reverse (2002110210021), we get a palindrome (3202230322023).

The spelling of 1200120112002 in words is "one trillion, two hundred billion, one hundred twenty million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 173 174 203 238 346 357 406 493 519 609 714 986 1038 1211 1218 1479 2422 2941 2958 3451 3633 5017 5882 6902 7266 8823 10034 10353 15051 17646 20587 20706 30102 35119 41174 61761 70238 85289 105357 123522 170578 210714 255867 335029 511734 597023 670058 1005087 1194046 1791069 2010174 2345203 3582138 4690406 5695493 7035609 9715841 11390986 14071218 17086479 19431682 29147523 34172958 39868451 57960017 58295046 68010887 79736902 115920034 119605353 136021774 165169297 173880051 204032661 239210706 330338594 347760102 405720119 408065322 495507891 811440238 985320289 991015782 1156185079 1217160357 1680840493 1970640578 2312370158 2434320714 2955960867 3361680986 3468555237 5042521479 5911921734 6897242023 6937110474 10085042958 11765883451 13794484046 20691726069 23531766902 28574288381 35297650353 41383452138 57148576762 70595300706 85722865143 171445730286 200020018667 400040037334 600060056001 1200120112002