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121001220120 = 233511671368173
BaseRepresentation
bin111000010110000111…
…1000001100000011000
3102120022210010212022010
41300230033001200120
53440302303020440
6131330500025520
711512344254334
oct1605417014030
9376283125263
10121001220120
1147353041670
121b54b0922a0
13b544760a01
145bdc2d07c4
153232d28580
hex1c2c3c1818

121001220120 has 128 divisors (see below), whose sum is σ = 401914794240. Its totient is φ = 28895792640.

The previous prime is 121001220113. The next prime is 121001220169. The reversal of 121001220120 is 21022100121.

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 = 121001220096 and 121001220105.

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, 595647 + ... + 772526.

It is an arithmetic number, because the mean of its divisors is an integer number (3139959330).

Almost surely, 2121001220120 is an apocalyptic number.

121001220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001220120 is an abundant number, since it is smaller than the sum of its proper divisors (280913574120).

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

121001220120 is a wasteful number, since it uses less digits than its factorization.

121001220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368265 (or 1368261 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121001220120 its reverse (21022100121), we get a palindrome (142023320241).

The spelling of 121001220120 in words is "one hundred twenty-one billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 14740 17688 22110 29480 44220 88440 1368173 2736346 4104519 5472692 6840865 8209038 10945384 13681730 15049903 16418076 20522595 27363460 30099806 32836152 41045190 45149709 54726920 60199612 75249515 82090380 90299418 91667591 120399224 150499030 164180760 180598836 183335182 225748545 275002773 300998060 361197672 366670364 451497090 458337955 550005546 601996120 733340728 902994180 916675910 1008343501 1100011092 1375013865 1805988360 1833351820 2016687002 2200022184 2750027730 3025030503 3666703640 4033374004 5041717505 5500055460 6050061006 8066748008 10083435010 11000110920 12100122012 15125152515 20166870020 24200244024 30250305030 40333740040 60500610060 121001220120