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1121231200 = 255279113157
BaseRepresentation
bin100001011010100…
…1010000101100000
32220010210110001111
41002311022011200
54244013344300
6303131513104
736533210425
oct10265120540
92803713044
101121231200
115259a6661
122735b8794
1314b3a561b
14a8ca7d4c
156867b9ba
hex42d4a160

1121231200 has 144 divisors (see below), whose sum is σ = 2814194880. Its totient is φ = 436101120.

The previous prime is 1121231191. The next prime is 1121231203. The reversal of 1121231200 is 21321211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121231203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7141522 + ... + 7141678.

It is an arithmetic number, because the mean of its divisors is an integer number (19543020).

Almost surely, 21121231200 is an apocalyptic number.

1121231200 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 1121231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407097440).

1121231200 is an abundant number, since it is smaller than the sum of its proper divisors (1692963680).

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

1121231200 is a wasteful number, since it uses less digits than its factorization.

1121231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1121231200 is about 33484.7905772158. The cubic root of 1121231200 is about 1038.8792166554.

Adding to 1121231200 its reverse (21321211), we get a palindrome (1142552411).

The spelling of 1121231200 in words is "one billion, one hundred twenty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 113 157 158 160 200 226 314 316 395 400 452 565 628 632 785 790 800 904 1130 1256 1264 1570 1580 1808 1975 2260 2512 2528 2825 3140 3160 3616 3925 3950 4520 5024 5650 6280 6320 7850 7900 8927 9040 11300 12403 12560 12640 15700 15800 17741 17854 18080 22600 24806 25120 31400 31600 35482 35708 44635 45200 49612 62015 62800 63200 70964 71416 88705 89270 90400 99224 124030 125600 141928 142832 177410 178540 198448 223175 248060 283856 285664 310075 354820 357080 396896 443525 446350 496120 567712 620150 709640 714160 887050 892700 992240 1240300 1401539 1419280 1428320 1774100 1785400 1984480 2480600 2803078 2838560 3548200 3570800 4961200 5606156 7007695 7096400 7141600 9922400 11212312 14015390 14192800 22424624 28030780 35038475 44849248 56061560 70076950 112123120 140153900 224246240 280307800 560615600 1121231200