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2122102201212 = 223273239719071
BaseRepresentation
bin11110111000010111001…
…001011101101101111100
321111212111221200100101200
4132320113021131231330
5234232031130414322
64302514050535500
7306213446043000
oct36702711355574
97455457610350
102122102201212
11748a84407884
122a333b897590
1312516212a486
14749d3096700
153a3027d28ac
hex1ee1725db7c

2122102201212 has 144 divisors (see below), whose sum is σ = 6281812992000. Its totient is φ = 603777192480.

The previous prime is 2122102201207. The next prime is 2122102201237. The reversal of 2122102201212 is 2121022012212.

It is a happy number.

2122102201212 is a `hidden beast` number, since 21 + 2 + 210 + 220 + 1 + 212 = 666.

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

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, 2591637 + ... + 3310707.

Almost surely, 22122102201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122102201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140906496000).

2122102201212 is an abundant number, since it is smaller than the sum of its proper divisors (4159710790788).

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

2122102201212 is a wasteful number, since it uses less digits than its factorization.

2122102201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719341 (or 719322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122102201212 its reverse (2121022012212), we get a palindrome (4243124213424).

The spelling of 2122102201212 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 239 252 294 343 441 478 588 686 717 882 956 1029 1372 1434 1673 1764 2058 2151 2868 3087 3346 4116 4302 5019 6174 6692 8604 10038 11711 12348 15057 20076 23422 30114 35133 46844 60228 70266 81977 105399 140532 163954 210798 245931 327908 421596 491862 719071 737793 983724 1438142 1475586 2157213 2876284 2951172 4314426 5033497 6471639 8628852 10066994 12943278 15100491 20133988 25886556 30200982 35234479 45301473 60401964 70468958 90602946 105703437 140937916 171857969 181205892 211406874 246641353 317110311 343715938 422813748 493282706 515573907 634220622 687431876 739924059 986565412 1031147814 1203005783 1268441244 1479848118 1546721721 2062295628 2219772177 2406011566 2959696236 3093443442 3609017349 4439544354 4812023132 6186886884 7218034698 8421040481 8879088708 10827052047 14436069396 16842080962 21654104094 25263121443 33684161924 43308208188 50526242886 58947283367 75789364329 101052485772 117894566734 151578728658 176841850101 235789133468 303157457316 353683700202 530525550303 707367400404 1061051100606 2122102201212