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12341021150224 = 24132913719377377
BaseRepresentation
bin1011001110010101111000…
…1011101000110000010000
31121200210022222112110210201
42303211132023220300100
53104143402403301344
642125215320504544
72412416002656124
oct263453613506020
947623288473721
1012341021150224
113a28885789448
12147393301b154
136b69a4004a40
14309446b83584
15166041a744d4
hexb395e2e8c10

12341021150224 has 160 divisors (see below), whose sum is σ = 26971760884320. Its totient is φ = 5430948397056.

The previous prime is 12341021150203. The next prime is 12341021150233. The reversal of 12341021150224 is 42205112014321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5569222406400 + 6771798743824 = 2359920^2 + 2602268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12341021150192 and 12341021150201.

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, 159453424 + ... + 159530800.

It is an arithmetic number, because the mean of its divisors is an integer number (168573505527).

Almost surely, 212341021150224 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 12341021150224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485880442160).

12341021150224 is an abundant number, since it is smaller than the sum of its proper divisors (14630739734096).

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

12341021150224 is a wasteful number, since it uses less digits than its factorization.

12341021150224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77757 (or 77751 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 12341021150224 its reverse (42205112014321), we get a palindrome (54546133164545).

The spelling of 12341021150224 in words is "twelve trillion, three hundred forty-one billion, twenty-one million, one hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 137 193 208 232 274 377 386 464 548 754 772 1096 1508 1544 1781 2192 2509 3016 3088 3562 3973 5018 5597 6032 7124 7946 10036 11194 14248 15892 20072 22388 26441 28496 31784 40144 44776 51649 52882 63568 72761 77377 89552 103298 105764 145522 154754 206596 211528 291044 309508 343733 413192 423056 582088 619016 687466 766789 826384 1005901 1164176 1238032 1374932 1533578 2011802 2243933 2749864 3067156 4023604 4487866 5499728 6134312 8047208 8975732 9968257 10600649 12268624 14933761 16094416 17951464 19936514 21201298 29171129 29867522 35902928 39873028 42402596 58342258 59735044 79746056 84805192 116684516 119470088 137808437 159492112 169610384 194138893 233369032 238940176 275616874 307418821 388277786 433079069 466738064 551233748 614837642 776555572 866158138 1102467496 1229675284 1553111144 1732316276 2045925257 2204934992 2459350568 3106222288 3464632552 3996444673 4091850514 4918701136 5630027897 6929265104 7992889346 8183701028 11260055794 15985778692 16367402056 22520111588 26597028341 31971557384 32734804112 45040223176 53194056682 59331832453 63943114768 90080446352 106388113364 118663664906 212776226728 237327329812 425552453456 474654659624 771313821889 949309319248 1542627643778 3085255287556 6170510575112 12341021150224