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121012223100 = 223523189146203
BaseRepresentation
bin111000010110011100…
…0111111110001111100
3102120100112211212112220
41300230320333301330
53440313112114400
6131331531525340
711512536632106
oct1605470776174
9376315755486
10121012223100
114735927733a
121b5528b9850
13b546b13c52
145bdd956576
153233c9d7a0
hex1c2ce3fc7c

121012223100 has 144 divisors (see below), whose sum is σ = 365486607360. Its totient is φ = 30877862400.

The previous prime is 121012223083. The next prime is 121012223183. The reversal of 121012223100 is 1322210121.

It is a super-2 number, since 2×1210122231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121012223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754599 + ... + 900801.

It is an arithmetic number, because the mean of its divisors is an integer number (2538101440).

Almost surely, 2121012223100 is an apocalyptic number.

121012223100 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 121012223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182743303680).

121012223100 is an abundant number, since it is smaller than the sum of its proper divisors (244474384260).

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

121012223100 is a wasteful number, since it uses less digits than its factorization.

121012223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146340 (or 146333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121012223100 its reverse (1322210121), we get a palindrome (122334433221).

The spelling of 121012223100 in words is "one hundred twenty-one billion, twelve million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 89 93 100 124 150 155 178 186 267 300 310 356 372 445 465 534 620 775 890 930 1068 1335 1550 1780 1860 2225 2325 2670 2759 3100 4450 4650 5340 5518 6675 8277 8900 9300 11036 13350 13795 16554 26700 27590 33108 41385 55180 68975 82770 137950 146203 165540 206925 275900 292406 413850 438609 584812 731015 827700 877218 1462030 1754436 2193045 2924060 3655075 4386090 4532293 7310150 8772180 9064586 10965225 13012067 13596879 14620300 18129172 21930450 22661465 26024134 27193758 39036201 43860900 45322930 52048268 54387516 65060335 67984395 78072402 90645860 113307325 130120670 135968790 156144804 195181005 226614650 260241340 271937580 325301675 339921975 390362010 403374077 453229300 650603350 679843950 780724020 806748154 975905025 1210122231 1301206700 1359687900 1613496308 1951810050 2016870385 2420244462 3903620100 4033740770 4840488924 6050611155 8067481540 10084351925 12101222310 20168703850 24202444620 30253055775 40337407700 60506111550 121012223100