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1121321223200 = 255210725750971
BaseRepresentation
bin10000010100010011111…
…101000000010000100000
310222012022210201010111002
4100110103331000100200
5121332431213120300
62215043341211132
7144004246064063
oct20242375002040
93865283633432
101121321223200
113a2605663612
121613a0260aa8
138198110bc89
143c3b50368da
151e27c7005d5
hex10513f40420

1121321223200 has 144 divisors (see below), whose sum is σ = 2773814277024. Its totient is φ = 442599014400.

The previous prime is 1121321223193. The next prime is 1121321223221. The reversal of 1121321223200 is 23221231211.

It is a super-2 number, since 2×11213212232002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21973715 + ... + 22024685.

It is an arithmetic number, because the mean of its divisors is an integer number (19262599146).

Almost surely, 21121321223200 is an apocalyptic number.

1121321223200 is a gapful number since it is divisible by the number (10) 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 1121321223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386907138512).

1121321223200 is an abundant number, since it is smaller than the sum of its proper divisors (1652493053824).

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

1121321223200 is a wasteful number, since it uses less digits than its factorization.

1121321223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51355 (or 51342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1121321223200 its reverse (23221231211), we get a palindrome (1144542454411).

The spelling of 1121321223200 in words is "one trillion, one hundred twenty-one billion, three hundred twenty-one million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 257 400 428 514 535 800 856 1028 1070 1285 1712 2056 2140 2570 2675 3424 4112 4280 5140 5350 6425 8224 8560 10280 10700 12850 17120 20560 21400 25700 27499 41120 42800 50971 51400 54998 85600 101942 102800 109996 137495 203884 205600 219992 254855 274990 407768 439984 509710 549980 687475 815536 879968 1019420 1099960 1274275 1374950 1631072 2038840 2199920 2548550 2749900 4077680 4399840 5097100 5453897 5499800 8155360 10194200 10907794 10999600 13099547 20388400 21815588 21999200 26199094 27269485 40776800 43631176 52398188 54538970 65497735 87262352 104796376 109077940 130995470 136347425 174524704 209592752 218155880 261990940 272694850 327488675 419185504 436311760 523981880 545389700 654977350 872623520 1047963760 1090779400 1309954700 1401651529 2095927520 2181558800 2619909400 2803303058 4363117600 5239818800 5606606116 7008257645 10479637600 11213212232 14016515290 22426424464 28033030580 35041288225 44852848928 56066061160 70082576450 112132122320 140165152900 224264244640 280330305800 560660611600 1121321223200