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212202121200 = 24352792238419
BaseRepresentation
bin1100010110100000111…
…0110110011111110000
3202021201201201200000020
43011220032312133300
511434042220334300
6241252335523440
721221365161246
oct3055016663760
9667651650006
10212202121200
1181aa3624493
1235162089580
131701a301634
14a3b08b4796
1557be81c8a0
hex31683b67f0

212202121200 has 120 divisors (see below), whose sum is σ = 688358918400. Its totient is φ = 55870913280.

The previous prime is 212202121177. The next prime is 212202121253. The reversal of 212202121200 is 2121202212.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212202121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024410 + ... + 1214009.

It is an arithmetic number, because the mean of its divisors is an integer number (5736324320).

Almost surely, 2212202121200 is an apocalyptic number.

212202121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202121200 is an abundant number, since it is smaller than the sum of its proper divisors (476156797200).

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

212202121200 is a wasteful number, since it uses less digits than its factorization.

212202121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238519 (or 2238508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212202121200 its reverse (2121202212), we get a palindrome (214323323412).

The spelling of 212202121200 in words is "two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 150 158 200 237 240 300 316 395 400 474 600 632 790 948 1185 1200 1264 1580 1896 1975 2370 3160 3792 3950 4740 5925 6320 7900 9480 11850 15800 18960 23700 31600 47400 94800 2238419 4476838 6715257 8953676 11192095 13430514 17907352 22384190 26861028 33576285 35814704 44768380 53722056 55960475 67152570 89536760 107444112 111920950 134305140 167881425 176835101 179073520 223841900 268610280 335762850 353670202 447683800 530505303 537220560 671525700 707340404 884175505 895367600 1061010606 1343051400 1414680808 1768351010 2122021212 2652526515 2686102800 2829361616 3536702020 4244042424 4420877525 5305053030 7073404040 8488084848 8841755050 10610106060 13262632575 14146808080 17683510100 21220212120 26525265150 35367020200 42440424240 53050530300 70734040400 106101060600 212202121200