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212021111200 = 25522947919079
BaseRepresentation
bin1100010101110101110…
…0010110100110100000
3202021021010010101222011
43011131130112212200
511433204401024300
6241222352122304
721214036465303
oct3053534264640
9667233111864
10212021111200
1181a10431a48
1235111536394
1316cbb965b22
14a394836b3a
1557ad9b4eba
hex315d7169a0

212021111200 has 144 divisors (see below), whose sum is σ = 536590656000. Its totient is φ = 81708784640.

The previous prime is 212021111189. The next prime is 212021111201. The reversal of 212021111200 is 2111120212.

It is not an unprimeable number, because it can be changed into a prime (212021111201) 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, 11103261 + ... + 11122339.

It is an arithmetic number, because the mean of its divisors is an integer number (3726324000).

Almost surely, 2212021111200 is an apocalyptic number.

212021111200 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 212021111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268295328000).

212021111200 is an abundant number, since it is smaller than the sum of its proper divisors (324569544800).

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

212021111200 is a wasteful number, since it uses less digits than its factorization.

212021111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19607 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212021111200 its reverse (2111120212), we get a palindrome (214132231412).

The spelling of 212021111200 in words is "two hundred twelve billion, twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 479 580 725 800 928 958 1160 1450 1916 2320 2395 2900 3832 4640 4790 5800 7664 9580 11600 11975 13891 15328 19079 19160 23200 23950 27782 38158 38320 47900 55564 69455 76316 76640 95395 95800 111128 138910 152632 190790 191600 222256 277820 305264 347275 381580 383200 444512 476975 553291 555640 610528 694550 763160 953950 1106582 1111280 1389100 1526320 1907900 2213164 2222560 2766455 2778200 3052640 3815800 4426328 5532910 5556400 7631600 8852656 9138841 11065820 11112800 13832275 15263200 17705312 18277682 22131640 27664550 36555364 44263280 45694205 55329100 73110728 88526560 91388410 110658200 146221456 182776820 221316400 228471025 265026389 292442912 365553640 442632800 456942050 530052778 731107280 913884100 1060105556 1325131945 1462214560 1827768200 2120211112 2650263890 3655536400 4240422224 5300527780 6625659725 7311072800 8480844448 10601055560 13251319450 21202111120 26502638900 42404222240 53005277800 106010555600 212021111200