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212021120000 = 21054331283
BaseRepresentation
bin1100010101110101110…
…0011000110000000000
3202021021010010212001002
43011131130120300000
511433204401320000
6241222352231132
721214036533044
oct3053534306000
9667233125032
10212021120000
1181a10438618
123511153b4a8
1316cbb969b31
14a39483a024
1557ad9b78d5
hex315d718c00

212021120000 has 110 divisors (see below), whose sum is σ = 529626049788. Its totient is φ = 84808192000.

The previous prime is 212021119997. The next prime is 212021120021. The reversal of 212021120000 is 21120212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 474359 + ... + 805641.

Almost surely, 2212021120000 is an apocalyptic number.

212021120000 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 212021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264813024894).

212021120000 is an abundant number, since it is smaller than the sum of its proper divisors (317604929788).

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

212021120000 is an frugal number, since it uses more digits than its factorization.

212021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331323 (or 331290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212021120000 its reverse (21120212), we get a palindrome (212042240212).

The spelling of 212021120000 in words is "two hundred twelve billion, twenty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3200 4000 5000 5120 6400 8000 10000 12800 16000 20000 25600 32000 40000 64000 80000 128000 160000 320000 331283 640000 662566 1325132 1656415 2650264 3312830 5300528 6625660 8282075 10601056 13251320 16564150 21202112 26502640 33128300 41410375 42404224 53005280 66256600 82820750 84808448 106010560 132513200 165641500 169616896 207051875 212021120 265026400 331283000 339233792 414103750 424042240 530052800 662566000 828207500 848084480 1060105600 1325132000 1656415000 1696168960 2120211200 2650264000 3312830000 4240422400 5300528000 6625660000 8480844800 10601056000 13251320000 21202112000 26502640000 42404224000 53005280000 106010560000 212021120000