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122110220022112 = 2573131567557069
BaseRepresentation
bin11011110000111100000000…
…010010011011000101100000
3121000100121211012001010212201
4123300330000102123011200
5112001123212311201422
61111412354411302544
734502113041340450
oct3360740022330540
9530317735033781
10122110220022112
11359a9720882a63
121184194174aa54
135319c3793572a
142222248017d60
15e1b578bdc727
hex6f0f0049b160

122110220022112 has 96 divisors (see below), whose sum is σ = 283620327137280. Its totient is φ = 50643096445440.

The previous prime is 122110220022107. The next prime is 122110220022157. The reversal of 122110220022112 is 211220022011221.

It is a self number, because there is not a number n which added to its sum of digits gives 122110220022112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218922714 + ... + 219479782.

It is an arithmetic number, because the mean of its divisors is an integer number (2954378407680).

Almost surely, 2122110220022112 is an apocalyptic number.

It is an amenable number.

122110220022112 is an abundant number, since it is smaller than the sum of its proper divisors (161510107115168).

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

122110220022112 is a wasteful number, since it uses less digits than its factorization.

122110220022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588684 (or 588676 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122110220022112 its reverse (211220022011221), we get a palindrome (333330242033333).

The spelling of 122110220022112 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 31567 63134 126268 220969 252536 441938 505072 557069 883876 978577 1010144 1114138 1767752 1957154 2228276 3535504 3899483 3914308 4456552 6850039 7071008 7798966 7828616 8913104 13700078 15597932 15657232 17269139 17826208 27400156 31195864 31314464 34538278 54800312 62391728 69076556 109600624 120883973 124783456 138153112 219201248 241767946 276306224 483535892 552612448 967071784 1934143568 3868287136 17584997123 35169994246 70339988492 123094979861 140679976984 246189959722 281359953968 492379919444 545134910813 562719907936 984759838888 1090269821626 1969519677776 2180539643252 3815944375691 3939039355552 4361079286504 7631888751382 8722158573008 15263777502764 17444317146016 30527555005528 61055110011056 122110220022112