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20112111121122 = 2341718679390967
BaseRepresentation
bin1001001001010101101110…
…01111010011001011100010
32122012200212121022112210000
410210222313033103023202
510114004100421333442
6110435213140320430
74144023601565256
oct444526717231342
978180777275700
1020112111121122
116454553451749
122309a413a3116
13b2b743c93727
144d7607984266
1524d267490d4c
hex124ab73d32e2

20112111121122 has 80 divisors (see below), whose sum is σ = 47719646156160. Its totient is φ = 6309327987072.

The previous prime is 20112111121087. The next prime is 20112111121127. The reversal of 20112111121122 is 22112111121102.

It is a happy number.

20112111121122 is a `hidden beast` number, since 201 + 121 + 111 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20112111121095 and 20112111121104.

It is not an unprimeable number, because it can be changed into a prime (20112111121127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 51246483 + ... + 51637449.

It is an arithmetic number, because the mean of its divisors is an integer number (596495576952).

Almost surely, 220112111121122 is an apocalyptic number.

20112111121122 is an abundant number, since it is smaller than the sum of its proper divisors (27607535035038).

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

20112111121122 is a wasteful number, since it uses less digits than its factorization.

20112111121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409677 (or 409668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 20112111121122 its reverse (22112111121102), we get a palindrome (42224222242224).

The spelling of 20112111121122 in words is "twenty trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 18679 37358 56037 112074 168111 317543 336222 390967 504333 635086 781934 952629 1008666 1172901 1512999 1905258 2345802 2857887 3025998 3518703 5715774 6646439 7037406 8573661 10556109 13292878 17147322 19939317 21112218 25720983 31668327 39878634 51441966 59817951 63336654 119635902 179453853 358907706 538361559 1076723118 7302872593 14605745186 21908617779 43817235558 65725853337 124148834081 131451706674 197177560011 248297668162 372446502243 394355120022 591532680033 744893004486 1117339506729 1183065360066 2234679013458 3352018520187 6704037040374 10056055560561 20112111121122