Search a number
-
+
1212101111000 = 235313423122037
BaseRepresentation
bin10001101000110110110…
…110110010110011011000
311021212122102002020112202
4101220312312302303120
5124324340341023000
62324455341225332
7153366665310023
oct21506666626330
94255572066482
101212101111000
1142805a52897a
12176ab6262248
138a3ba691910
14429477461ba
15217e227edd5
hex11a36db2cd8

1212101111000 has 128 divisors (see below), whose sum is σ = 3055355372160. Its totient is φ = 447418944000.

The previous prime is 1212101110907. The next prime is 1212101111021. The reversal of 1212101111000 is 1111012121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54991982 + ... + 55014018.

It is an arithmetic number, because the mean of its divisors is an integer number (23869963845).

Almost surely, 21212101111000 is an apocalyptic number.

1212101111000 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 1212101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527677686080).

1212101111000 is an abundant number, since it is smaller than the sum of its proper divisors (1843254261160).

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

1212101111000 is a wasteful number, since it uses less digits than its factorization.

1212101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26302 (or 26288 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1212101111000 its reverse (1111012121), we get a palindrome (1213212123121).

The spelling of 1212101111000 in words is "one trillion, two hundred twelve billion, one hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 4231 6500 8462 13000 16924 21155 22037 33848 42310 44074 55003 84620 88148 105775 110006 110185 169240 176296 211550 220012 220370 275015 286481 423100 440024 440740 528875 550030 550925 572962 846200 881480 1057750 1100060 1101850 1145924 1375075 1432405 2115500 2200120 2203700 2291848 2750150 2754625 2864810 4231000 4407400 5500300 5509250 5729620 6875375 7162025 11000600 11018500 11459240 13750750 14324050 22037000 27501500 28648100 35810125 55003000 57296200 71620250 93238547 143240500 186477094 286481000 372954188 466192735 745908376 932385470 1212101111 1864770940 2330963675 2424202222 3729541880 4661927350 4848404444 6060505555 9323854700 9696808888 11654818375 12121011110 18647709400 23309636750 24242022220 30302527775 46619273500 48484044440 60605055550 93238547000 121210111100 151512638875 242420222200 303025277750 606050555500 1212101111000