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1201212222100 = 22521119285720117
BaseRepresentation
bin10001011110101101110…
…100111110101010010100
311020211112112201101002021
4101132231310332222110
5124140040312101400
62315455042422524
7152533105264162
oct21365564765224
94224475641067
101201212222100
11423481a90540
12174977661a44
138937379b2a7
14421d351a232
15213a633c71a
hex117add3ea94

1201212222100 has 144 divisors (see below), whose sum is σ = 2994456467520. Its totient is φ = 413649331200.

The previous prime is 1201212222083. The next prime is 1201212222121. The reversal of 1201212222100 is 12222121021.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 59701242 + ... + 59721358.

It is an arithmetic number, because the mean of its divisors is an integer number (20794836580).

Almost surely, 21201212222100 is an apocalyptic number.

1201212222100 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 1201212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497228233760).

1201212222100 is an abundant number, since it is smaller than the sum of its proper divisors (1793244245420).

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

1201212222100 is a wasteful number, since it uses less digits than its factorization.

1201212222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23018 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1201212222100 its reverse (12222121021), we get a palindrome (1213434343121).

The spelling of 1201212222100 in words is "one trillion, two hundred one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 2857 4180 5225 5714 10450 11428 14285 20117 20900 28570 31427 40234 54283 57140 62854 71425 80468 100585 108566 125708 142850 157135 201170 217132 221287 271415 285700 314270 382223 402340 442574 502925 542830 597113 628540 764446 785675 885148 1005850 1085660 1106435 1194226 1357075 1528892 1571350 1911115 2011700 2212870 2388452 2714150 2985565 3142700 3822230 4204453 4425740 5428300 5532175 5971130 7644460 8408906 9555575 11064350 11942260 14927825 16817812 19111150 21022265 22128700 29855650 38222300 42044530 57474269 59711300 84089060 105111325 114948538 210222650 229897076 287371345 420445300 574742690 632216959 1092011111 1149485380 1264433918 1436856725 2184022222 2528867836 2873713450 3161084795 4368044444 5460055555 5747426900 6322169590 10920111110 12012122221 12644339180 15805423975 21840222220 24024244442 27300277775 31610847950 48048488884 54600555550 60060611105 63221695900 109201111100 120121222210 240242444420 300303055525 600606111050 1201212222100