Search a number
-
+
1212020111100 = 22352371027110631
BaseRepresentation
bin10001101000110010000…
…001110011011011111100
311021212102202200000120110
4101220302001303123330
5124324204122023400
62324443325150020
7153364662650511
oct21506201633374
94255382600513
101212020111100
11428018834507
12176a930bb310
138a3a6971396
144293aa9d308
15217da0cee50
hex11a320736fc

1212020111100 has 144 divisors (see below), whose sum is σ = 3602245441536. Its totient is φ = 314409888000.

The previous prime is 1212020111069. The next prime is 1212020111119. The reversal of 1212020111100 is 11110202121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114002785 + ... + 114013415.

It is an arithmetic number, because the mean of its divisors is an integer number (25015593344).

Almost surely, 21212020111100 is an apocalyptic number.

1212020111100 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 1212020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801122720768).

1212020111100 is an abundant number, since it is smaller than the sum of its proper divisors (2390225330436).

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

1212020111100 is a wasteful number, since it uses less digits than its factorization.

1212020111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20956 (or 20949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1212020111100 its reverse (11110202121), we get a palindrome (1223130313221).

The spelling of 1212020111100 in words is "one trillion, two hundred twelve billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 10271 10631 11100 20542 21262 30813 31893 41084 42524 51355 53155 61626 63786 102710 106310 123252 127572 154065 159465 205420 212620 256775 265775 308130 318930 380027 393347 513550 531550 616260 637860 760054 770325 786694 797325 1027100 1063100 1140081 1180041 1520108 1540650 1573388 1594650 1900135 1966735 2280162 2360082 3081300 3189300 3800270 3933470 4560324 4720164 5700405 5900205 7600540 7866940 9500675 9833675 11400810 11800410 19001350 19667350 22801620 23600820 28502025 29501025 38002700 39334700 57004050 59002050 109191001 114008100 118004100 218382002 327573003 436764004 545955005 655146006 1091910010 1310292012 1637865015 2183820020 2729775025 3275730030 4040067037 5459550050 6551460060 8080134074 8189325075 10919100100 12120201111 16160268148 16378650150 20200335185 24240402222 32757300300 40400670370 48480804444 60601005555 80801340740 101001675925 121202011110 202003351850 242404022220 303005027775 404006703700 606010055550 1212020111100