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122101222211011 = 19311645312599683
BaseRepresentation
bin11011110000110011100111…
…111110011111110111000011
3121000022202121010001222110201
4123300303213332133313003
5112001001300341223021
61111404305505110031
734501344053244151
oct3360634776376703
9530282533058421
10122101222211011
11359a592384733a
1211840050328317
135319132770854
142221a330123d1
15e1b1edce4591
hex6f0ce7f9fdc3

122101222211011 has 16 divisors (see below), whose sum is σ = 132681728343040. Its totient is φ = 111936582862560.

The previous prime is 122101222210969. The next prime is 122101222211027. The reversal of 122101222211011 is 110112222101221.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101222211011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 122101222211011.

It is not an unprimeable number, because it can be changed into a prime (122101222211071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3390976 + ... + 15990658.

It is an arithmetic number, because the mean of its divisors is an integer number (8292608021440).

Almost surely, 2122101222211011 is an apocalyptic number.

122101222211011 is a deficient number, since it is larger than the sum of its proper divisors (10580506132029).

122101222211011 is a wasteful number, since it uses less digits than its factorization.

122101222211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616186.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122101222211011 its reverse (110112222101221), we get a palindrome (232213444312232).

The spelling of 122101222211011 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-two million, two hundred eleven thousand, eleven".

Divisors: 1 19 31 589 16453 312607 510043 9690817 12599683 239393977 390590173 7421213287 207302584399 3938749103581 6426380116369 122101222211011