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122000002112211 = 31729815631011343
BaseRepresentation
bin11011101111010101010110…
…110010011101101011010011
3120222222002022220121012022120
4123233111112302131223103
5111442322001020042321
61111250005515105323
734461131532510246
oct3357252662355323
9528862286535276
10122000002112211
1135966a01727a23
1211824501a42243
13530c721250572
14221ab8dd0d25d
15e187778edec6
hex6ef556c9dad3

122000002112211 has 32 divisors (see below), whose sum is σ = 178176805954560. Its totient is φ = 73908420278784.

The previous prime is 122000002112167. The next prime is 122000002112213. The reversal of 122000002112211 is 112211200000221.

It is not a de Polignac number, because 122000002112211 - 26 = 122000002112147 is a prime.

It is a super-3 number, since 3×1220000021122113 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (122000002112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120126006 + ... + 121137348.

It is an arithmetic number, because the mean of its divisors is an integer number (5568025186080).

Almost surely, 2122000002112211 is an apocalyptic number.

122000002112211 is a deficient number, since it is larger than the sum of its proper divisors (56176803842349).

122000002112211 is a wasteful number, since it uses less digits than its factorization.

122000002112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092955.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122000002112211 its reverse (112211200000221), we get a palindrome (234211202112432).

The spelling of 122000002112211 in words is "one hundred twenty-two trillion, two million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 3 17 29 51 87 493 1479 81563 244689 1011343 1386571 2365327 3034029 4159713 7095981 17192831 29328947 40210559 51578493 87986841 120631677 498592099 1495776297 82488169109 247464507327 1402298874853 2392156904161 4206896624559 7176470712483 40666667370737 122000002112211