Search a number
-
+
121010210221120 = 26511100169343199
BaseRepresentation
bin11011100000111011100010…
…100110000010110001000000
3120212110110111121112102201021
4123200323202212002301000
5111330112402304033440
61105211153443515224
734326461550322543
oct3340734246026100
9525413447472637
10121010210221120
1135615161a38380
12116a470a688b14
13526a2a1b0836c
1421c4cd551c85a
15decb4745284a
hex6e0ee2982c40

121010210221120 has 112 divisors (see below), whose sum is σ = 314355577536000. Its totient is φ = 44003145297920.

The previous prime is 121010210221081. The next prime is 121010210221123. The reversal of 121010210221120 is 21122012010121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121010210221094 and 121010210221103.

It is not an unprimeable number, because it can be changed into a prime (121010210221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352423281 + ... + 352766479.

It is an arithmetic number, because the mean of its divisors is an integer number (2806746228000).

Almost surely, 2121010210221120 is an apocalyptic number.

121010210221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121010210221120 is an abundant number, since it is smaller than the sum of its proper divisors (193345367314880).

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

121010210221120 is a wasteful number, since it uses less digits than its factorization.

121010210221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443396 (or 443386 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121010210221120 its reverse (21122012010121), we get a palindrome (142132222231241).

The spelling of 121010210221120 in words is "one hundred twenty-one trillion, ten billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 100169 200338 343199 400676 500845 686398 801352 1001690 1101859 1372796 1602704 1715995 2003380 2203718 2745592 3205408 3431990 3775189 4006760 4407436 5491184 5509295 6410816 6863980 7550378 8013520 8814872 10982368 11018590 13727960 15100756 16027040 17629744 18875945 21964736 22037180 27455920 30201512 32054080 35259488 37751890 44074360 54911840 60403024 70518976 75503780 88148720 109823680 120806048 151007560 176297440 241612096 302015120 352594880 604030240 1208060480 34377900631 68755801262 137511602524 171889503155 275023205048 343779006310 378156906941 550046410096 687558012620 756313813882 1100092820192 1375116025240 1512627627764 1890784534705 2200185640384 2750232050480 3025255255528 3781569069410 5500464100960 6050510511056 7563138138820 11000928201920 12101021022112 15126276277640 24202042044224 30252552555280 60505105110560 121010210221120