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210122012120 = 235172114633163
BaseRepresentation
bin1100001110110000111…
…1110111010111011000
3202002100202122011210012
43003230033313113120
511420312213341440
6240310111541052
721116006430266
oct3035417672730
9662322564705
10210122012120
1181126441779
123488152a788
1316a78389367
14a254525436
1556ebdd3e65
hex30ec3f75d8

210122012120 has 128 divisors (see below), whose sum is σ = 504202890240. Its totient is φ = 78534973440.

The previous prime is 210122012119. The next prime is 210122012141. The reversal of 210122012120 is 21210221012.

It is a junction number, because it is equal to n+sod(n) for n = 210122012095 and 210122012104.

It is a congruent number.

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, 66429659 + ... + 66432821.

It is an arithmetic number, because the mean of its divisors is an integer number (3939085080).

Almost surely, 2210122012120 is an apocalyptic number.

210122012120 is a gapful number since it is divisible by the number (20) 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 210122012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252101445120).

210122012120 is an abundant number, since it is smaller than the sum of its proper divisors (294080878120).

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

210122012120 is a wasteful number, since it uses less digits than its factorization.

210122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3861 counting only the distinct ones).

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

Adding to 210122012120 its reverse (21210221012), we get a palindrome (231332233132).

The spelling of 210122012120 in words is "two hundred ten billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 211 340 422 463 680 844 926 1055 1688 1852 2110 2315 3163 3587 3704 4220 4630 6326 7174 7871 8440 9260 12652 14348 15742 15815 17935 18520 25304 28696 31484 31630 35870 39355 53771 62968 63260 71740 78710 97693 107542 126520 143480 157420 195386 215084 268855 314840 390772 430168 488465 537710 667393 781544 976930 1075420 1334786 1464469 1660781 1953860 2150840 2669572 2928938 3321562 3336965 3907720 5339144 5857876 6643124 6673930 7322345 8303905 11345681 11715752 13286248 13347860 14644690 16607810 22691362 24895973 26695720 29289380 33215620 45382724 49791946 56728405 58578760 66431240 90765448 99583892 113456810 124479865 199167784 226913620 248959730 309002959 453827240 497919460 618005918 995838920 1236011836 1545014795 2472023672 3090029590 5253050303 6180059180 10506100606 12360118360 21012201212 26265251515 42024402424 52530503030 105061006060 210122012120