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121201022201010 = 235371259584314843
BaseRepresentation
bin11011100011101101001111…
…110111111110110010110010
3120220010201000121221100002120
4123203231033313332302302
5111341224143140413020
61105434551514455110
734346325213355113
oct3343551767766262
9526121017840076
10121201022201010
1135689079368024
12117156a1134496
135282290725a3b
1421d023724420a
15e02ab3e5a740
hex6e3b4fdfecb2

121201022201010 has 128 divisors (see below), whose sum is σ = 299052743592960. Its totient is φ = 31414279885056.

The previous prime is 121201022200961. The next prime is 121201022201027. The reversal of 121201022201010 is 10102220102121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8165526649 + ... + 8165541491.

It is an arithmetic number, because the mean of its divisors is an integer number (2336349559320).

Almost surely, 2121201022201010 is an apocalyptic number.

121201022201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201022201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149526371796480).

121201022201010 is an abundant number, since it is smaller than the sum of its proper divisors (177851721391950).

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

121201022201010 is a wasteful number, since it uses less digits than its factorization.

121201022201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21992.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121201022201010 its reverse (10102220102121), we get a palindrome (131303242303131).

The spelling of 121201022201010 in words is "one hundred twenty-one trillion, two hundred one billion, twenty-two million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1259 2518 3777 5843 6295 7554 11686 12590 14843 17529 18885 29215 29686 35058 37770 44529 46583 58430 74215 87645 89058 93166 139749 148430 175290 216191 222645 232915 279498 432382 445290 465830 549191 648573 698745 1080955 1098382 1297146 1397490 1647573 2161910 2745955 3242865 3295146 5491910 6485730 7356337 8237865 14712674 16475730 18687337 22069011 36781685 37374674 44138022 56062011 73563370 86727649 93436685 110345055 112124022 173455298 186873370 220690110 260182947 272184469 280310055 433638245 520365894 544368938 560620110 691431469 816553407 867276490 1300914735 1360922345 1382862938 1633106814 2074294407 2601829470 2721844690 3208923013 3457157345 4082767035 4148588814 6417846026 6914314690 8165534070 9626769039 10371472035 16044615065 19253538078 20742944070 32089230130 48133845195 96267690390 109190110091 218380220182 327570330273 545950550455 655140660546 1091901100910 1637851651365 3275703302730 4040034073367 8080068146734 12120102220101 20200170366835 24240204440202 40400340733670 60600511100505 121201022201010