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212122005200 = 24527547138497
BaseRepresentation
bin1100010110001101110…
…1001110111011010000
3202021112010222100111222
43011203131032323100
511433411213131300
6241240354424212
721216403203020
oct3054335167320
9667463870458
10212122005200
1181a62384116
123513b292068
1317006830511
14a3a3dbba80
1557b7794785
hex316374eed0

212122005200 has 120 divisors (see below), whose sum is σ = 583495397952. Its totient is φ = 72594063360.

The previous prime is 212122005127. The next prime is 212122005203. The reversal of 212122005200 is 2500221212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122005203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462352 + ... + 1600848.

Almost surely, 2212122005200 is an apocalyptic number.

212122005200 is a gapful number since it is divisible by the number (20) 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 212122005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291747698976).

212122005200 is an abundant number, since it is smaller than the sum of its proper divisors (371373392752).

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

212122005200 is a wasteful number, since it uses less digits than its factorization.

212122005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139069 (or 139058 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 212122005200 its reverse (2500221212), we get a palindrome (214622226412).

The spelling of 212122005200 in words is "two hundred twelve billion, one hundred twenty-two million, five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 547 560 700 1094 1400 2188 2735 2800 3829 4376 5470 7658 8752 10940 13675 15316 19145 21880 27350 30632 38290 43760 54700 61264 76580 95725 109400 138497 153160 191450 218800 276994 306320 382900 553988 692485 765800 969479 1107976 1384970 1531600 1938958 2215952 2769940 3462425 3877916 4847395 5539880 6924850 7755832 9694790 11079760 13849700 15511664 19389580 24236975 27699400 38779160 48473950 55398800 75757859 77558320 96947900 151515718 193895800 303031436 378789295 387791600 530305013 606062872 757578590 1060610026 1212125744 1515157180 1893946475 2121220052 2651525065 3030314360 3787892950 4242440104 5303050130 6060628720 7575785900 8484880208 10606100260 13257625325 15151571800 21212200520 26515250650 30303143600 42424401040 53030501300 106061002600 212122005200