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12401221012224 = 283113256145083
BaseRepresentation
bin1011010001110110001001…
…0111111000101100000000
31121220112201102012022200020
42310131202113320230000
53111140200034342344
642213013044453440
72416646550234642
oct264354227705400
947815642168606
1012401221012224
113a51367a64810
1214835339aa280
136bc578c9b465
1430c317dc0892
151678b6b05719
hexb47625f8b00

12401221012224 has 144 divisors (see below), whose sum is σ = 36007722301824. Its totient is φ = 3757746995200.

The previous prime is 12401221012217. The next prime is 12401221012237. The reversal of 12401221012224 is 42221012210421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12401221012194 and 12401221012203.

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, 275052787 + ... + 275097869.

It is an arithmetic number, because the mean of its divisors is an integer number (250053627096).

Almost surely, 212401221012224 is an apocalyptic number.

It is an amenable number.

12401221012224 is an abundant number, since it is smaller than the sum of its proper divisors (23606501289600).

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

12401221012224 is a wasteful number, since it uses less digits than its factorization.

12401221012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77674 (or 77660 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12401221012224 its reverse (42221012210421), we get a palindrome (54622233222645).

The spelling of 12401221012224 in words is "twelve trillion, four hundred one billion, two hundred twenty-one million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 32561 45083 65122 90166 97683 130244 135249 180332 195366 260488 270498 358171 360664 390732 495913 520976 540996 716342 721328 781464 991826 1041952 1074513 1081992 1432684 1442656 1487739 1562928 1983652 2083904 2149026 2163984 2865368 2885312 2975478 3125856 3967304 4167808 4298052 4327968 5730736 5770624 5950956 6251712 7934608 8335616 8596104 8655936 11461472 11541248 11901912 12503424 15869216 17192208 17311872 22922944 23803824 25006848 31738432 34384416 34623744 45845888 47607648 63476864 68768832 91691776 95215296 126953728 137537664 190430592 275075328 380861184 1467947563 2935895126 4403842689 5871790252 8807685378 11743580504 16147423193 17615370756 23487161008 32294846386 35230741512 46974322016 48442269579 64589692772 70461483024 93948644032 96884539158 129179385544 140922966048 187897288064 193769078316 258358771088 281845932096 375794576128 387538156632 516717542176 563691864192 775076313264 1033435084352 1127383728384 1550152626528 2066870168704 3100305253056 4133740337408 6200610506112 12401221012224