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121219973400 = 23352192559649
BaseRepresentation
bin111000011100101000…
…1100000000100011000
3102120220000202200101110
41300321101200010120
53441224303122100
6131404312420320
711520641526111
oct1607121400430
9376800680343
10121219973400
11474555731a9
121b5b03a76a0
13b57ab82b16
145c1d395208
153247139250
hex1c39460118

121219973400 has 144 divisors (see below), whose sum is σ = 396601569000. Its totient is φ = 30623938560.

The previous prime is 121219973293. The next prime is 121219973401. The reversal of 121219973400 is 4379912121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121219973401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63225 + ... + 496424.

Almost surely, 2121219973400 is an apocalyptic number.

121219973400 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 121219973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198300784500).

121219973400 is an abundant number, since it is smaller than the sum of its proper divisors (275381595600).

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

121219973400 is a wasteful number, since it uses less digits than its factorization.

121219973400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559706 (or 559678 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 121219973400 in words is "one hundred twenty-one billion, two hundred nineteen million, nine hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 361 380 456 475 570 600 722 760 950 1083 1140 1425 1444 1805 1900 2166 2280 2850 2888 3610 3800 4332 5415 5700 7220 8664 9025 10830 11400 14440 18050 21660 27075 36100 43320 54150 72200 108300 216600 559649 1119298 1678947 2238596 2798245 3357894 4477192 5596490 6715788 8394735 10633331 11192980 13431576 13991225 16789470 21266662 22385960 27982450 31899993 33578940 41973675 42533324 53166655 55964900 63799986 67157880 83947350 85066648 106333310 111929800 127599972 159499965 167894700 202033289 212666620 255199944 265833275 318999930 335789400 404066578 425333240 531666550 606099867 637999860 797499825 808133156 1010166445 1063333100 1212199734 1275999720 1594999650 1616266312 2020332890 2126666200 2424399468 3030499335 3189999300 4040665780 4848798936 5050832225 6060998670 6379998600 8081331560 10101664450 12121997340 15152496675 20203328900 24243994680 30304993350 40406657800 60609986700 121219973400