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121212122000100 = 223523729147374653
BaseRepresentation
bin11011100011110111100101…
…011110010110101011100100
3120220011202200012011112221120
4123203313211132112223210
5111341414411213000400
61105444025150013540
734350200244165315
oct3343674536265344
9526152605145846
10121212122000100
113569285496a3aa
121171787a4a72b0
13528333c2235b1
1421d09ab49260c
15e0301365eca0
hex6e3de5796ae4

121212122000100 has 144 divisors (see below), whose sum is σ = 360198961499328. Its totient is φ = 31448468712960.

The previous prime is 121212122000077. The next prime is 121212122000117. The reversal of 121212122000100 is 1000221212121.

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 121212122000100.

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, 323344374 + ... + 323719026.

Almost surely, 2121212122000100 is an apocalyptic number.

121212122000100 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 121212122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180099480749664).

121212122000100 is an abundant number, since it is smaller than the sum of its proper divisors (238986839499228).

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

121212122000100 is a wasteful number, since it uses less digits than its factorization.

121212122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403854 (or 403847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121212122000100 its reverse (1000221212121), we get a palindrome (122212343212221).

The spelling of 121212122000100 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 29147 58294 87441 116588 145735 174882 291470 349764 374653 437205 582940 728675 749306 874410 1078439 1123959 1457350 1498612 1748820 1873265 2156878 2186025 2247918 2914700 3235317 3746530 4313756 4372050 4495836 5392195 5619795 6470634 7493060 8744100 9366325 10784390 11239590 12941268 13862161 16176585 18732650 21568780 22479180 26960975 27724322 28098975 32353170 37465300 41586483 53921950 55448644 56197950 64706340 69310805 80882925 83172966 107843900 112395900 138621610 161765850 166345932 207932415 277243220 323531700 346554025 415864830 693108050 831729660 1039662075 1386216100 2079324150 4158648300 10920010991 21840021982 32760032973 43680043964 54600054955 65520065946 109200109910 131040131892 163800164865 218400219820 273000274775 327600329730 404040406667 546000549550 655200659460 808080813334 819000824325 1092001099100 1212121220001 1616161626668 1638001648650 2020202033335 2424242440002 3276003297300 4040404066670 4848484880004 6060606100005 8080808133340 10101010166675 12121212200010 20202020333350 24242424400020 30303030500025 40404040666700 60606061000050 121212122000100