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1121233401200 = 245211826930817
BaseRepresentation
bin10000010100001110101…
…101111111010101110000
310222012002200110022100102
4100110032231333111300
5121332241222314300
62215030523011532
7144002131442213
oct20241655772560
93865080408312
101121233401200
113a257002a650
12161376969ba8
1381968b704b3
143c3a74d577a
151e274b540d5
hex1050eb7f570

1121233401200 has 120 divisors (see below), whose sum is σ = 2939101565520. Its totient is φ = 407658700800.

The previous prime is 1121233401191. The next prime is 1121233401259. The reversal of 1121233401200 is 21043321211.

It is a super-2 number, since 2×11212334012002 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36368192 + ... + 36399008.

It is an arithmetic number, because the mean of its divisors is an integer number (24492513046).

Almost surely, 21121233401200 is an apocalyptic number.

1121233401200 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 1121233401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469550782760).

1121233401200 is an abundant number, since it is smaller than the sum of its proper divisors (1817868164320).

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

1121233401200 is a wasteful number, since it uses less digits than its factorization.

1121233401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39115 (or 39104 counting only the distinct ones).

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

Adding to 1121233401200 its reverse (21043321211), we get a palindrome (1142276722411).

The spelling of 1121233401200 in words is "one trillion, one hundred twenty-one billion, two hundred thirty-three million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 8269 16538 30817 33076 41345 61634 66152 82690 90959 123268 132304 154085 165380 181918 206725 246536 308170 330760 338987 363836 413450 454795 493072 616340 661520 677974 727672 770425 826900 909590 1232680 1355948 1455344 1540850 1653800 1694935 1819180 2273975 2465360 2711896 3081700 3307600 3389870 3638360 4547950 5423792 6163400 6779740 7276720 8474675 9095900 12326800 13559480 16949350 18191800 27118960 33898700 36383600 67797400 135594800 254825773 509651546 1019303092 1274128865 2038606184 2548257730 2803083503 4077212368 5096515460 5606167006 6370644325 10193030920 11212334012 12741288650 14015417515 20386061840 22424668024 25482577300 28030835030 44849336048 50965154600 56061670060 70077087575 101930309200 112123340120 140154175150 224246680240 280308350300 560616700600 1121233401200