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1221324413040 = 243353715281837
BaseRepresentation
bin10001110001011100100…
…110111001100001110000
311022202110012100112101000
4101301130212321201300
5130002233022204130
62333022500442000
7154144362136314
oct21613446714160
94282405315330
101221324413040
11430a62878246
1217884b0a9300
138b22a4975a4
1443180687b44
1521b81d6a260
hex11c5c9b9870

1221324413040 has 160 divisors (see below), whose sum is σ = 4320481239360. Its totient is φ = 316884151296.

The previous prime is 1221324413039. The next prime is 1221324413069. The reversal of 1221324413040 is 403144231221.

1221324413040 is a `hidden beast` number, since 1 + 2 + 213 + 2 + 441 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1221324412995 and 1221324413013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7560999 + ... + 7720838.

It is an arithmetic number, because the mean of its divisors is an integer number (27003007746).

Almost surely, 21221324413040 is an apocalyptic number.

1221324413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221324413040 is an abundant number, since it is smaller than the sum of its proper divisors (3099156826320).

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

1221324413040 is a wasteful number, since it uses less digits than its factorization.

1221324413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281896 (or 15281884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1221324413040 its reverse (403144231221), we get a palindrome (1624468644261).

The spelling of 1221324413040 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-four million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5328 6660 7992 8880 9990 13320 15984 19980 26640 39960 79920 15281837 30563674 45845511 61127348 76409185 91691022 122254696 137536533 152818370 183382044 229227555 244509392 275073066 305636740 366764088 412609599 458455110 550146132 565427969 611273480 687682665 733528176 825219198 916910220 1100292264 1130855938 1222546960 1375365330 1650438396 1696283907 1833820440 2063047995 2200584528 2261711876 2750730660 2827139845 3300876792 3392567814 3667640880 4126095990 4523423752 5088851721 5501461320 5654279690 6601753584 6785135628 8252191980 8481419535 9046847504 10177703442 11002922640 11308559380 13570271256 15266555163 16504383960 16962839070 20355406884 22617118760 25444258605 27140542512 30533110326 33008767920 33925678140 40710813768 45234237520 50888517210 61066220652 67851356280 76332775815 81421627536 101777034420 122132441304 135702712560 152665551630 203554068840 244264882608 305331103260 407108137680 610662206520 1221324413040