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120012122020120 = 235114116340813231
BaseRepresentation
bin11011010010011001111111…
…111001101101100100011000
3120201221001021010111110102121
4123102121333321231210120
5111212234311214120440
61103124450245511024
734164406155514531
oct3322317771554430
9521831233443377
10120012122020120
113526a945197360
12115631a0a12474
1351c712c944a45
14218c890d71688
15dd1bcd97a34a
hex6d267fe6d918

120012122020120 has 128 divisors (see below), whose sum is σ = 303611265377280. Its totient is φ = 42315156864000.

The previous prime is 120012122020111. The next prime is 120012122020129. The reversal of 120012122020120 is 21020221210021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120012122020111) and next prime (120012122020129).

It is a junction number, because it is equal to n+sod(n) for n = 120012122020094 and 120012122020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012122020129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17466096 + ... + 23347135.

It is an arithmetic number, because the mean of its divisors is an integer number (2371963010760).

Almost surely, 2120012122020120 is an apocalyptic number.

120012122020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012122020120 is an abundant number, since it is smaller than the sum of its proper divisors (183599143357160).

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

120012122020120 is a wasteful number, since it uses less digits than its factorization.

120012122020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40813457 (or 40813453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120012122020120 its reverse (21020221210021), we get a palindrome (141032343230141).

The spelling of 120012122020120 in words is "one hundred twenty trillion, twelve billion, one hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 163 164 205 220 326 328 410 440 451 652 815 820 902 1304 1630 1640 1793 1804 2255 3260 3586 3608 4510 6520 6683 7172 8965 9020 13366 14344 17930 18040 26732 33415 35860 53464 66830 71720 73513 133660 147026 267320 294052 367565 588104 735130 1470260 2940520 40813231 81626462 163252924 204066155 326505848 408132310 448945541 816264620 897891082 1632529240 1673342471 1795782164 2244727705 3346684942 3591564328 4489455410 6652556653 6693369884 8366712355 8978910820 13305113306 13386739768 16733424710 17957821640 18406767181 26610226612 33262783265 33466849420 36813534362 53220453224 66525566530 66933698840 73178123183 73627068724 92033835905 133051133060 146356246366 147254137448 184067671810 266102266120 272754822773 292712492732 365890615915 368135343620 545509645546 585424985464 731781231830 736270687240 1091019291092 1363774113865 1463562463660 2182038582184 2727548227730 2927124927320 3000303050503 5455096455460 6000606101006 10910192910920 12001212202012 15001515252515 24002424404024 30003030505030 60006061010060 120012122020120