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1221434223024 = 243479722812447
BaseRepresentation
bin10001110001100011001…
…001110010100110110000
311022202201211222110100110
4101301203021302212300
5130002444130114044
62333041422221320
7154150164410121
oct21614311624660
94282654873313
101221434223024
1143100985a0a4
1217887ba24840
138b247164302
14431910b0048
1521b8b80b6b9
hex11c632729b0

1221434223024 has 160 divisors (see below), whose sum is σ = 3258487443456. Its totient is φ = 394040033280.

The previous prime is 1221434223013. The next prime is 1221434223143. The reversal of 1221434223024 is 4203224341221.

It is a super-2 number, since 2×12214342230242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221434222982 and 1221434223000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499154569 + ... + 499157015.

Almost surely, 21221434223024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221434223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629243721728).

1221434223024 is an abundant number, since it is smaller than the sum of its proper divisors (2037053220432).

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

1221434223024 is a wasteful number, since it uses less digits than its factorization.

1221434223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1221434223024 its reverse (4203224341221), we get a palindrome (5424658564245).

The spelling of 1221434223024 in words is "one trillion, two hundred twenty-one billion, four hundred thirty-four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 97 141 188 194 282 291 376 388 564 582 752 776 1128 1164 1552 2256 2281 2328 2447 4559 4562 4656 4894 6843 7341 9118 9124 9788 13677 13686 14682 18236 18248 19576 27354 27372 29364 36472 36496 39152 54708 54744 58728 72944 107207 109416 109488 115009 117456 214414 218832 221257 230018 237359 321621 345027 428828 442514 460036 474718 643242 663771 690054 712077 857656 885028 920072 949436 1286484 1327542 1380108 1424154 1715312 1770056 1840144 1898872 2572968 2655084 2760216 2848308 3540112 3797744 5145936 5310168 5520432 5581607 5696616 10399079 10620336 11155873 11163214 11393232 16744821 20798158 22311746 22326428 31197237 33467619 33489642 41596316 44623492 44652856 62394474 66935238 66979284 83192632 89246984 89305712 124788948 133870476 133958568 166385264 178493968 249577896 262335529 267740952 267917136 499155792 524671058 535481904 541415879 787006587 1049342116 1082831758 1574013174 1624247637 2098684232 2165663516 3148026348 3248495274 4197368464 4331327032 6296052696 6496990548 8662654064 12592105392 12993981096 25446546313 25987962192 50893092626 76339638939 101786185252 152679277878 203572370504 305358555756 407144741008 610717111512 1221434223024