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102000012121200 = 24352208740728323
BaseRepresentation
bin10111001100010010111010…
…011111010101010001110000
3111101011002212012222012102010
4113030102322133111101300
5101332132011100334300
61000534054135322520
730325154246523144
oct2714227237252160
9441132765865363
10102000012121200
112a555a64786886
12b534351820440
1344bb73806250b
141b28b81139224
15bbd3c3893a50
hex5cc4ba7d5470

102000012121200 has 120 divisors (see below), whose sum is σ = 326896606528128. Its totient is φ = 27186969501440.

The previous prime is 102000012121171. The next prime is 102000012121213. The reversal of 102000012121200 is 2121210000201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 17859762 + ... + 22868561.

Almost surely, 2102000012121200 is an apocalyptic number.

102000012121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000012121200 is an abundant number, since it is smaller than the sum of its proper divisors (224896594406928).

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

102000012121200 is a wasteful number, since it uses less digits than its factorization.

102000012121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40730431 (or 40730420 counting only the distinct ones).

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

Adding to 102000012121200 its reverse (2121210000201), we get a palindrome (104121222121401).

The spelling of 102000012121200 in words is "one hundred two trillion, twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2087 4174 6261 8348 10435 12522 16696 20870 25044 31305 33392 41740 50088 52175 62610 83480 100176 104350 125220 156525 166960 208700 250440 313050 417400 500880 626100 834800 1252200 2504400 40728323 81456646 122184969 162913292 203641615 244369938 325826584 407283230 488739876 610924845 651653168 814566460 977479752 1018208075 1221849690 1629132920 1954959504 2036416150 2443699380 3054624225 3258265840 4072832300 4887398760 6109248450 8145664600 9774797520 12218496900 16291329200 24436993800 48873987600 85000010101 170000020202 255000030303 340000040404 425000050505 510000060606 680000080808 850000101010 1020000121212 1275000151515 1360000161616 1700000202020 2040000242424 2125000252525 2550000303030 3400000404040 4080000484848 4250000505050 5100000606060 6375000757575 6800000808080 8500001010100 10200001212120 12750001515150 17000002020200 20400002424240 25500003030300 34000004040400 51000006060600 102000012121200