Search a number
-
+
212011220120000 = 26547757182929
BaseRepresentation
bin110000001101001010110101…
…011101101011000111000000
31000210200002000110100022110212
4300031022311131223013000
5210242042434322320000
62030524335425413252
762441206450636250
oct6015126535530700
91023602013308425
10212011220120000
116160a4a97003a4
121b94124079a228
13913b759386312
143a4d57d811960
151979d7202ec35
hexc0d2b576b1c0

212011220120000 has 140 divisors (see below), whose sum is σ = 600821626223280. Its totient is φ = 72689561088000.

The previous prime is 212011220119997. The next prime is 212011220120023. The reversal of 212011220120000 is 21022110212.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 378311465 + ... + 378871464.

It is an arithmetic number, because the mean of its divisors is an integer number (4291583044452).

Almost surely, 2212011220120000 is an apocalyptic number.

212011220120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011220120000 is an abundant number, since it is smaller than the sum of its proper divisors (388810406103280).

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

212011220120000 is an frugal number, since it uses more digits than its factorization.

212011220120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757182968 (or 757182943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212011220120000 its reverse (21022110212), we get a palindrome (212032242230212).

The spelling of 212011220120000 in words is "two hundred twelve trillion, eleven billion, two hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 757182929 1514365858 3028731716 3785914645 5300280503 6057463432 7571829290 10600561006 12114926864 15143658580 18929573225 21201122012 24229853728 26501402515 30287317160 37859146450 42402244024 48459707456 53002805030 60574634320 75718292900 84804488048 94647866125 106005610060 121149268640 132507012575 151436585800 169608976096 189295732250 212011220120 242298537280 265014025150 302873171600 339217952192 378591464500 424022440240 473239330625 530028050300 605746343200 662535062875 757182929000 848044880480 946478661250 1060056100600 1211492686400 1325070125750 1514365858000 1696089760960 1892957322500 2120112201200 2650140251500 3028731716000 3312675314375 3785914645000 4240224402400 5300280503000 6057463432000 6625350628750 7571829290000 8480448804800 10600561006000 13250701257500 15143658580000 21201122012000 26501402515000 30287317160000 42402244024000 53002805030000 106005610060000 212011220120000