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120203222031112 = 231117293253851731
BaseRepresentation
bin11011010101001011111110…
…010110011001101100001000
3120202121022112012212212012111
4123111023332112121230020
5111223402144314443422
61103352333050152104
734214252620016653
oct3325137626315410
9522538465785174
10120203222031112
113533399a166040
1211594233a22634
13520c16612c41c
142197c1d03289a
15dd6b658caa77
hex6d52fe599b08

120203222031112 has 128 divisors (see below), whose sum is σ = 269393292201600. Its totient is φ = 49635281203200.

The previous prime is 120203222031107. The next prime is 120203222031131. The reversal of 120203222031112 is 211130222302021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140702287 + ... + 141554017.

It is an arithmetic number, because the mean of its divisors is an integer number (2104635095325).

Almost surely, 2120203222031112 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 120203222031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134696646100800).

120203222031112 is an abundant number, since it is smaller than the sum of its proper divisors (149190070170488).

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

120203222031112 is a wasteful number, since it uses less digits than its factorization.

120203222031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855047 (or 855043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 120203222031112 its reverse (211130222302021), we get a palindrome (331333444333133).

The spelling of 120203222031112 in words is "one hundred twenty trillion, two hundred three billion, two hundred twenty-two million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 986 1276 1496 1972 2552 3253 3944 5423 6506 10846 13012 21692 26024 35783 43384 55301 71566 94337 110602 143132 188674 221204 286264 377348 442408 608311 754696 851731 1037707 1216622 1603729 1703462 2075414 2433244 3207458 3406924 4150828 4866488 6414916 6813848 8301656 9369041 12829832 14479427 17641019 18738082 24700199 28958854 35282038 37476164 49400398 57917708 70564076 74952328 98800796 115835416 141128152 159273697 197601592 271702189 318547394 419903383 543404378 637094788 839806766 1086808756 1274189576 1679613532 2173617512 2770680943 3359227064 4618937213 5541361886 9237874426 11082723772 18475748852 22165447544 30477490373 36951497704 47101576031 60954980746 80349747347 94203152062 121909961492 160699494694 188406304124 243819922984 321398989388 376812608248 518117336341 642797978776 883847220817 1036234672682 1365945704899 1767694441634 2072469345364 2731891409798 3535388883268 4144938690728 5463782819596 7070777766536 10927565639192 15025402753889 30050805507778 60101611015556 120203222031112