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1110212121222 = 2321737186152691
BaseRepresentation
bin10000001001111101110…
…011001001001010000110
310221010122120222021110200
4100021331303021022012
5121142203300334342
62210005134431330
7143132043216501
oct20117563111206
93833576867420
101110212121222
113989248878a6
1215b1bb962546
1380900704c59
143ba3d886138
151dd2c2ae94c
hex1027dcc9286

1110212121222 has 96 divisors (see below), whose sum is σ = 2617249156704. Its totient is φ = 338699750400.

The previous prime is 1110212121203. The next prime is 1110212121247. The reversal of 1110212121222 is 2221212120111.

1110212121222 is a `hidden beast` number, since 1 + 110 + 212 + 121 + 222 = 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 = 1110212121195 and 1110212121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21043897 + ... + 21096587.

It is an arithmetic number, because the mean of its divisors is an integer number (27263012049).

Almost surely, 21110212121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110212121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308624578352).

1110212121222 is an abundant number, since it is smaller than the sum of its proper divisors (1507037035482).

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

1110212121222 is a wasteful number, since it uses less digits than its factorization.

1110212121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54614 (or 54611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1110212121222 its reverse (2221212120111), we get a palindrome (3331424241333).

The spelling of 1110212121222 in words is "one trillion, one hundred ten billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1861 1887 3722 3774 5583 5661 11166 11322 16749 31637 33498 52691 63274 68857 94911 105382 137714 158073 189822 206571 284733 316146 413142 474219 569466 619713 895747 948438 1170569 1239426 1791494 1949567 2341138 2687241 3511707 3899134 5374482 5848701 7023414 8061723 10535121 11697402 16123446 17546103 21070242 33142639 35092206 66285278 98057951 99427917 196115902 198855834 294173853 298283751 588347706 596567502 882521559 1666985167 1765043118 3333970334 3628144187 5000955501 7256288374 10001911002 10884432561 15002866503 21768865122 30005733006 32653297683 61678451179 65306595366 123356902358 185035353537 370070707074 555106060611 1110212121222