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1120212221000 = 23534355746771
BaseRepresentation
bin10000010011010001110…
…110011111110001001000
310222002110111220222110112
4100103101312133301020
5121323143312033000
62214341323333452
7143634621525365
oct20232166376110
93862414828415
101120212221000
113a209665a874
12161130981288
1381835428962
143c30ba3346c
151e21518c235
hex104d1d9fc48

1120212221000 has 128 divisors (see below), whose sum is σ = 2687129976960. Its totient is φ = 436869216000.

The previous prime is 1120212220987. The next prime is 1120212221033. The reversal of 1120212221000 is 1222120211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23927615 + ... + 23974385.

It is an arithmetic number, because the mean of its divisors is an integer number (20993202945).

Almost surely, 21120212221000 is an apocalyptic number.

1120212221000 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 1120212221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343564988480).

1120212221000 is an abundant number, since it is smaller than the sum of its proper divisors (1566917755960).

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

1120212221000 is a wasteful number, since it uses less digits than its factorization.

1120212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47392 (or 47378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1120212221000 its reverse (1222120211), we get a palindrome (1121434341211).

The spelling of 1120212221000 in words is "one trillion, one hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 557 860 1000 1075 1114 1720 2150 2228 2785 4300 4456 5375 5570 8600 10750 11140 13925 21500 22280 23951 27850 43000 46771 47902 55700 69625 93542 95804 111400 119755 139250 187084 191608 233855 239510 278500 374168 467710 479020 557000 598775 935420 958040 1169275 1197550 1870840 2011153 2338550 2395100 2993875 4022306 4677100 4790200 5846375 5987750 8044612 9354200 10055765 11692750 11975500 16089224 20111530 23385500 23951000 26051447 40223060 46771000 50278825 52102894 80446120 100557650 104205788 130257235 201115300 208411576 251394125 260514470 402230600 502788250 521028940 651286175 1005576500 1042057880 1120212221 1302572350 2011153000 2240424442 2605144700 3256430875 4480848884 5210289400 5601061105 6512861750 8961697768 11202122210 13025723500 22404244420 26051447000 28005305525 44808488840 56010611050 112021222100 140026527625 224042444200 280053055250 560106110500 1120212221000