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121222001202210 = 23352574657375127
BaseRepresentation
bin11011100100000000110010…
…010100100001010000100010
3120220012201011200122000112000
4123210000302110201100202
5111342100124301432320
61105452341335344430
734351000124053656
oct3344006224412042
9526181150560460
10121222001202210
1135696a64478147
1211719776b22116
135284254b9790c
1421d126756ca66
15e033e0b0ac90
hex6e4032521422

121222001202210 has 128 divisors (see below), whose sum is σ = 324587034570240. Its totient is φ = 32193085243392.

The previous prime is 121222001202191. The next prime is 121222001202233. The reversal of 121222001202210 is 12202100222121.

It is a happy number.

121222001202210 is a `hidden beast` number, since 1 + 2 + 122 + 200 + 120 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322961667 + ... + 323336793.

It is an arithmetic number, because the mean of its divisors is an integer number (2535836207580).

Almost surely, 2121222001202210 is an apocalyptic number.

121222001202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222001202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162293517285120).

121222001202210 is an abundant number, since it is smaller than the sum of its proper divisors (203365033368030).

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

121222001202210 is a wasteful number, since it uses less digits than its factorization.

121222001202210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380057 (or 380051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222001202210 its reverse (12202100222121), we get a palindrome (133424101424331).

The spelling of 121222001202210 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 257 270 514 771 1285 1542 2313 2570 3855 4626 4657 6939 7710 9314 11565 13878 13971 23130 23285 27942 34695 41913 46570 69390 69855 83826 125739 139710 209565 251478 375127 419130 628695 750254 1125381 1196849 1257390 1875635 2250762 2393698 3376143 3590547 3751270 5626905 5984245 6752286 7181094 10128429 10771641 11253810 11968490 16880715 17952735 20256858 21543282 32314923 33761430 35905470 50642145 53858205 64629846 96407639 101284290 107716410 161574615 192815278 289222917 323149230 482038195 578445834 867668751 964076390 1446114585 1735337502 1746966439 2603006253 2892229170 3493932878 4338343755 5206012506 5240899317 8676687510 8734832195 10481798634 13015031265 15722697951 17469664390 26030062530 26204496585 31445395902 47168093853 52408993170 78613489755 94336187706 157226979510 235840469265 448970374823 471680938530 897940749646 1346911124469 2244851874115 2693822248938 4040733373407 4489703748230 6734555622345 8081466746814 12122200120221 13469111244690 20203666867035 24244400240442 40407333734070 60611000601105 121222001202210