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121222010222000 = 2453292090034659
BaseRepresentation
bin11011100100000000110010…
…110110111011010110110000
3120220012201012022121021100022
4123210000302312323112300
5111342100134104101000
61105452342300543012
734351000263531512
oct3344006266732660
9526181168537308
10121222010222000
1135696a69578916
1211719779b51a68
135284256a0527c
1421d1268839bb2
15e033e17dd585
hex6e4032dbb5b0

121222010222000 has 80 divisors (see below), whose sum is σ = 303222228472800. Its totient is φ = 46816776339200.

The previous prime is 121222010221973. The next prime is 121222010222039. The reversal of 121222010222000 is 222010222121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 121222010222000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044959330 + ... + 1045075329.

It is an arithmetic number, because the mean of its divisors is an integer number (3790277855910).

Almost surely, 2121222010222000 is an apocalyptic number.

121222010222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222010222000 is an abundant number, since it is smaller than the sum of its proper divisors (182000218250800).

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

121222010222000 is a wasteful number, since it uses less digits than its factorization.

121222010222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090034711 (or 2090034695 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 121222010222000 its reverse (222010222121), we get a palindrome (121444020444121).

The spelling of 121222010222000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 2090034659 4180069318 8360138636 10450173295 16720277272 20900346590 33440554544 41800693180 52250866475 60611005111 83601386360 104501732950 121222010222 167202772720 209003465900 242444020444 261254332375 303055025555 418006931800 484888040888 522508664750 606110051110 836013863600 969776081776 1045017329500 1212220102220 1515275127775 2090034659000 2424440204440 3030550255550 4180069318000 4848880408880 6061100511100 7576375638875 12122201022200 15152751277750 24244402044400 30305502555500 60611005111000 121222010222000