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121001201011020 = 223511839218516273
BaseRepresentation
bin11011100000110011001001…
…100110101000100101001100
3120212102121020202010010211010
4123200303021212220211030
5111324440424424323040
61105203103453125220
734326022363312101
oct3340631146504514
9525377222103733
10121001201011020
11356113595264a0
12116a2a15489810
135269497481c05
1421c46bcbcaaa8
15dec7bb556e80
hex6e0cc99a894c

121001201011020 has 96 divisors (see below), whose sum is σ = 370044199042560. Its totient is φ = 29298661749760.

The previous prime is 121001201011007. The next prime is 121001201011081. The reversal of 121001201011020 is 20110102100121.

It is a super-2 number, since 2×1210012010110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121001201010987 and 121001201011005.

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, 108704397 + ... + 109811876.

It is an arithmetic number, because the mean of its divisors is an integer number (3854627073360).

Almost surely, 2121001201011020 is an apocalyptic number.

121001201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001201011020 is an abundant number, since it is smaller than the sum of its proper divisors (249042998031540).

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

121001201011020 is a wasteful number, since it uses less digits than its factorization.

121001201011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218517135 (or 218517133 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121001201011020 its reverse (20110102100121), we get a palindrome (141111303111141).

The spelling of 121001201011020 in words is "one hundred twenty-one trillion, one billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 839 1678 2517 3356 4195 5034 8390 9229 10068 12585 16780 18458 25170 27687 36916 46145 50340 55374 92290 110748 138435 184580 276870 553740 218516273 437032546 655548819 874065092 1092581365 1311097638 2185162730 2403679003 2622195276 3277744095 4370325460 4807358006 6555488190 7211037009 9614716012 12018395015 13110976380 14422074018 24036790030 28844148036 36055185045 48073580060 72110370090 144220740180 183335153047 366670306094 550005459141 733340612188 916675765235 1100010918282 1833351530470 2016686683517 2200021836564 2750027295705 3666703060940 4033373367034 5500054591410 6050060050551 8066746734068 10083433417585 11000109182820 12100120101102 20166866835170 24200240202204 30250300252755 40333733670340 60500600505510 121001201011020