Search a number
-
+
121427622000 = 2432536745979
BaseRepresentation
bin111000100010110100…
…1100111100001110000
3102121102111111022201100
41301011221213201300
53442140432401000
6131441051204400
711526042520446
oct1610551474160
9377374438640
10121427622000
11475517aa713
121b649a46700
13b5b1bb7609
145c3cba8b96
15325a4a4a00
hex1c45a67870

121427622000 has 120 divisors (see below), whose sum is σ = 424106270640. Its totient is φ = 32380694400.

The previous prime is 121427621993. The next prime is 121427622007. The reversal of 121427622000 is 226724121.

121427622000 is a `hidden beast` number, since 1 + 2 + 14 + 27 + 622 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121427621993) and next prime (121427622007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121427622007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354990 + ... + 3390989.

It is an arithmetic number, because the mean of its divisors is an integer number (3534218922).

Almost surely, 2121427622000 is an apocalyptic number.

121427622000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121427622000 is an abundant number, since it is smaller than the sum of its proper divisors (302678648640).

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

121427622000 is a wasteful number, since it uses less digits than its factorization.

121427622000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746008 (or 6745989 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 121427622000 in words is "one hundred twenty-one billion, four hundred twenty-seven million, six hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 6745979 13491958 20237937 26983916 33729895 40475874 53967832 60713811 67459790 80951748 101189685 107935664 121427622 134919580 161903496 168649475 202379370 242855244 269839160 303569055 323806992 337298950 404758740 485710488 505948425 539678320 607138110 674597900 809517480 843247375 971420976 1011896850 1214276220 1349195800 1517845275 1619034960 1686494750 2023793700 2428552440 2529742125 2698391600 3035690550 3372989500 4047587400 4857104880 5059484250 6071381100 6745979000 7589226375 8095174800 10118968500 12142762200 13491958000 15178452750 20237937000 24285524400 30356905500 40475874000 60713811000 121427622000