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121220222100 = 223521728878233
BaseRepresentation
bin111000011100101001…
…0011100110010010100
3102120220001020022112120
41300321102130302110
53441224334101400
6131404322015540
711520643613145
oct1607122346224
9376801208476
10121220222100
114745572303a
121b5b04a75b0
13b57ac3c093
145c1d41bacc
153247187ca0
hex1c3949cc94

121220222100 has 144 divisors (see below), whose sum is σ = 371535470208. Its totient is φ = 30409666560.

The previous prime is 121220222059. The next prime is 121220222113. The reversal of 121220222100 is 1222022121.

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 121220222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14719584 + ... + 14727816.

It is an arithmetic number, because the mean of its divisors is an integer number (2580107432).

Almost surely, 2121220222100 is an apocalyptic number.

121220222100 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 121220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185767735104).

121220222100 is an abundant number, since it is smaller than the sum of its proper divisors (250315248108).

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

121220222100 is a wasteful number, since it uses less digits than its factorization.

121220222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121220222100 its reverse (1222022121), we get a palindrome (122442244221).

The spelling of 121220222100 in words is "one hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 2887 5100 5774 8233 8661 11548 14435 16466 17322 24699 28870 32932 34644 41165 43305 49079 49398 57740 72175 82330 86610 98158 98796 123495 139961 144350 147237 164660 173220 196316 205825 216525 245395 246990 279922 288700 294474 411650 419883 433050 490790 493980 559844 588948 617475 699805 736185 823300 839766 866100 981580 1226975 1234950 1399610 1472370 1679532 2099415 2453950 2469900 2799220 2944740 3499025 3680925 4198830 4907900 6998050 7361850 8397660 10497075 13996100 14723700 20994150 23768671 41988300 47537342 71306013 95074684 118843355 142612026 237686710 285224052 356530065 404067407 475373420 594216775 713060130 808134814 1188433550 1212202221 1426120260 1616269628 1782650325 2020337035 2376867100 2424404442 3565300650 4040674070 4848808884 6061011105 7130601300 8081348140 10101685175 12122022210 20203370350 24244044420 30305055525 40406740700 60610111050 121220222100