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121322111232 = 2837142315859
BaseRepresentation
bin111000011111101011…
…1001000000100000000
3102121011010221211011010
41300333113020010000
53441431430024412
6131422401520520
711523321634050
oct1607727100400
9377133854133
10121322111232
11474a8194933
121b61a643140
13b5960946ca
145c2cb81560
1532510b233c
hex1c3f5c8100

121322111232 has 144 divisors (see below), whose sum is σ = 369304033280. Its totient is φ = 34636916736.

The previous prime is 121322111231. The next prime is 121322111293. The reversal of 121322111232 is 232111223121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121322111199 and 121322111208.

It is not an unprimeable number, because it can be changed into a prime (121322111231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7642119 + ... + 7657977.

Almost surely, 2121322111232 is an apocalyptic number.

121322111232 is a gapful number since it is divisible by the number (12) 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 121322111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184652016640).

121322111232 is an abundant number, since it is smaller than the sum of its proper divisors (247981922048).

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

121322111232 is a wasteful number, since it uses less digits than its factorization.

121322111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17308 (or 17294 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 121322111232 its reverse (232111223121), we get a palindrome (353433334353).

The spelling of 121322111232 in words is "one hundred twenty-one billion, three hundred twenty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1423 1792 2688 2846 4269 5376 5692 8538 9961 11384 15859 17076 19922 22768 29883 31718 34152 39844 45536 47577 59766 63436 68304 79688 91072 95154 111013 119532 126872 136608 159376 182144 190308 222026 239064 253744 273216 318752 333039 364288 380616 444052 478128 507488 546432 637504 666078 761232 888104 956256 1014976 1092864 1275008 1332156 1522464 1776208 1912512 2029952 2550016 2664312 3044928 3552416 3825024 4059904 5328624 6089856 7104832 7650048 10657248 12179712 14209664 21314496 22567357 28419328 42628992 45134714 67702071 85257984 90269428 135404142 157971499 180538856 270808284 315942998 361077712 473914497 541616568 631885996 722155424 947828994 1083233136 1263771992 1444310848 1895657988 2166466272 2527543984 2888621696 3791315976 4332932544 5055087968 5777243392 7582631952 8665865088 10110175936 15165263904 17331730176 20220351872 30330527808 40440703744 60661055616 121322111232