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122001222100000 = 25551220012221
BaseRepresentation
bin11011101111010110011111…
…100000010110010000100000
3120222222012110221012222221111
4123233112133200112100200
5111442332000324200000
61111250330535433104
734461204005314045
oct3357263740262040
9528865427188844
10122001222100000
11359674783458a1
12118247a2525794
13530c886c22729
14221ac67d631cc
15e187e9a86cba
hex6ef59f816420

122001222100000 has 72 divisors (see below), whose sum is σ = 300218167565316. Its totient is φ = 48800488800000.

The previous prime is 122001222099997. The next prime is 122001222100123. The reversal of 122001222100000 is 1222100221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5298227996944 + 116702994103056 = 2301788^2 + 10802916^2 .

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 11 ways as a sum of consecutive naturals, for example, 609906111 + ... + 610106110.

Almost surely, 2122001222100000 is an apocalyptic number.

122001222100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001222100000 is an abundant number, since it is smaller than the sum of its proper divisors (178216945465316).

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

122001222100000 is an frugal number, since it uses more digits than its factorization.

122001222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220012256 (or 1220012228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122001222100000 its reverse (1222100221), we get a palindrome (122002444200221).

The spelling of 122001222100000 in words is "one hundred twenty-two trillion, one billion, two hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 1220012221 2440024442 4880048884 6100061105 9760097768 12200122210 19520195536 24400244420 30500305525 39040391072 48800488840 61000611050 97600977680 122001222100 152501527625 195201955360 244002444200 305003055250 488004888400 610006110500 762507638125 976009776800 1220012221000 1525015276250 2440024442000 3050030552500 3812538190625 4880048884000 6100061105000 7625076381250 12200122210000 15250152762500 24400244420000 30500305525000 61000611050000 122001222100000