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1200122200112 = 2411174717349331
BaseRepresentation
bin10001011101101100110…
…110111000000000110000
311020201201120122112000112
4101131230312320000300
5124130322240400422
62315154543440452
7152464101246413
oct21355466700060
94221646575015
101200122200112
11422a72770920
121747125b6128
138922ba02174
144212c857b7a
15213407c7ee2
hex1176cdb8030

1200122200112 has 160 divisors (see below), whose sum is σ = 2758891705344. Its totient is φ = 499582668800.

The previous prime is 1200122200111. The next prime is 1200122200181. The reversal of 1200122200112 is 2110022210021.

It is not an unprimeable number, because it can be changed into a prime (1200122200111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24303287 + ... + 24352617.

Almost surely, 21200122200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200122200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379445852672).

1200122200112 is an abundant number, since it is smaller than the sum of its proper divisors (1558769505232).

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

1200122200112 is a wasteful number, since it uses less digits than its factorization.

1200122200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49587 (or 49581 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1200122200112 its reverse (2110022210021), we get a palindrome (3310144410133).

Subtracting 1200122200112 from its reverse (2110022210021), we obtain a palindrome (909900009909).

The spelling of 1200122200112 in words is "one trillion, two hundred billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 47 68 88 94 136 173 176 187 188 272 346 374 376 517 692 748 752 799 1034 1384 1496 1598 1903 2068 2768 2941 2992 3196 3806 4136 5882 6392 7612 8131 8272 8789 11764 12784 15224 16262 17578 23528 30448 32351 32524 35156 47056 49331 64702 65048 70312 89441 98662 129404 130096 138227 140624 178882 197324 258808 276454 357764 394648 517616 542641 552908 715528 789296 838627 1085282 1105816 1431056 1520497 1677254 2170564 2211632 2318557 3040994 3354508 4341128 4637114 6081988 6709016 8534263 8682256 9224897 9274228 12163976 13418032 17068526 18449794 18548456 24327952 25504127 34137052 36899588 37096912 39415469 51008254 68274104 73799176 78830938 93876893 102016508 136548208 145082471 147598352 157661876 187753786 204033016 290164942 315323752 375507572 401110361 408066032 433570159 580329884 630647504 751015144 802220722 867140318 1160659768 1502030288 1595907181 1604441444 1734280636 2321319536 3191814362 3208882888 3468561272 4412213971 6383628724 6417765776 6818876137 6937122544 8824427942 12767257448 13637752274 17648855884 25534514896 27275504548 35297711768 54551009096 70595423536 75007637507 109102018192 150015275014 300030550028 600061100056 1200122200112