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1212211020096 = 26334159168673
BaseRepresentation
bin10001101000111101011…
…010000100000101000000
311021212221001220012111000
4101220331122010011000
5124330102010120341
62324514305052000
7153402501442506
oct21507532040500
94255831805430
101212211020096
1142810657823a
12176b27027000
138a40739479b
1442958196676
15217ebc408b6
hex11a3d684140

1212211020096 has 112 divisors (see below), whose sum is σ = 3564553907200. Its totient is φ = 403970789376.

The previous prime is 1212211020073. The next prime is 1212211020121. The reversal of 1212211020096 is 6900201122121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7102416 + ... + 7271088.

Almost surely, 21212211020096 is an apocalyptic number.

1212211020096 is a gapful number since it is divisible by the number (16) 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 1212211020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782276953600).

1212211020096 is an abundant number, since it is smaller than the sum of its proper divisors (2352342887104).

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

1212211020096 is a wasteful number, since it uses less digits than its factorization.

1212211020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172853 (or 172837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1212211020096 in words is "one trillion, two hundred twelve billion, two hundred eleven million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4159 8318 12477 16636 24954 33272 37431 49908 66544 74862 99816 112293 133088 149724 168673 199632 224586 266176 299448 337346 399264 449172 506019 598896 674692 798528 898344 1012038 1197792 1349384 1518057 1796688 2024076 2395584 2698768 3036114 3593376 4048152 4554171 5397536 6072228 7186752 8096304 9108342 10795072 12144456 16192608 18216684 24288912 32385216 36433368 48577824 72866736 97155648 145733472 291466944 701511007 1403022014 2104533021 2806044028 4209066042 5612088056 6313599063 8418132084 11224176112 12627198126 16836264168 18940797189 22448352224 25254396252 33672528336 37881594378 44896704448 50508792504 67345056672 75763188756 101017585008 134690113344 151526377512 202035170016 303052755024 404070340032 606105510048 1212211020096