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1200221121012 = 223372471579901
BaseRepresentation
bin10001011101110010110…
…000001110100111110100
311020201222110210012222120
4101131302300032213310
5124131023101333022
62315212435555540
7152466412125504
oct21356260164764
94221873705876
101200221121012
11423013595631
1217473b75bbb0
1389246358744
144213ba47a04
1521349317d5c
hex11772c0e9f4

1200221121012 has 144 divisors (see below), whose sum is σ = 2958512272128. Its totient is φ = 378513907200.

The previous prime is 1200221120983. The next prime is 1200221121017. The reversal of 1200221121012 is 2101211220021.

It is a junction number, because it is equal to n+sod(n) for n = 1200221120982 and 1200221121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200221121017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121217262 + ... + 121227162.

It is an arithmetic number, because the mean of its divisors is an integer number (20545224112).

Almost surely, 21200221121012 is an apocalyptic number.

1200221121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200221121012 is an abundant number, since it is smaller than the sum of its proper divisors (1758291151116).

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

1200221121012 is a wasteful number, since it uses less digits than its factorization.

1200221121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1200221121012 its reverse (2101211220021), we get a palindrome (3301432341033).

Subtracting 1200221121012 from its reverse (2101211220021), we obtain a palindrome (900990099009).

The spelling of 1200221121012 in words is "one trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 37 47 74 94 111 141 148 157 188 222 282 314 444 471 564 628 942 1369 1739 1884 2738 3478 4107 5217 5476 5809 6956 7379 8214 9901 10434 11618 14758 16428 17427 19802 20868 22137 23236 29516 29703 34854 39604 44274 59406 64343 69708 88548 118812 128686 193029 214933 257372 273023 366337 386058 429866 465347 546046 644799 732674 772116 819069 859732 930694 1092092 1099011 1289598 1396041 1465348 1554457 1638138 1861388 2198022 2579196 2792082 3108914 3276276 4396044 4663371 5584164 6217828 9326742 10101851 13554469 17217839 18653484 20203702 27108938 30305553 34435678 40407404 40663407 51653517 54217876 57514909 60611106 68871356 73059479 81326814 103307034 115029818 121222212 146118958 162653628 172544727 206614068 219178437 230059636 292237916 345089454 438356874 637060043 690178908 876713748 1274120086 1911180129 2128051633 2548240172 2703200723 3822360258 4256103266 5406401446 6384154899 7644720516 8109602169 8512206532 10812802892 12768309798 16219204338 25536619596 32438408676 100018426751 200036853502 300055280253 400073707004 600110560506 1200221121012