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2221121200212 = 2233101797255487
BaseRepresentation
bin100000010100100101001…
…000111110000001010100
321212100002202101200021000
4200110211020332001110
5242342324011401322
64420211411423300
7316320311460165
oct40244510760124
97770082350230
102221121200212
11786a77016352
122ba574bb4b30
131315b2622645
1479707b1376c
153cb9a8403ac
hex2052523e054

2221121200212 has 96 divisors (see below), whose sum is σ = 5822796349440. Its totient is φ = 732120681600.

The previous prime is 2221121200211. The next prime is 2221121200217. The reversal of 2221121200212 is 2120021211222.

It is a happy number.

2221121200212 is a `hidden beast` number, since 22 + 211 + 21 + 200 + 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 not an unprimeable number, because it can be changed into a prime (2221121200211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8565933 + ... + 8821419.

It is an arithmetic number, because the mean of its divisors is an integer number (60654128640).

Almost surely, 22221121200212 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 2221121200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911398174720).

2221121200212 is an abundant number, since it is smaller than the sum of its proper divisors (3601675149228).

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

2221121200212 is a wasteful number, since it uses less digits than its factorization.

2221121200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256398 (or 256390 counting only the distinct ones).

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

Adding to 2221121200212 its reverse (2120021211222), we get a palindrome (4341142411434).

The spelling of 2221121200212 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 797 909 1212 1594 1818 2391 2727 3188 3636 4782 5454 7173 9564 10908 14346 21519 28692 43038 80497 86076 160994 241491 255487 321988 482982 510974 724473 766461 965964 1021948 1448946 1532922 2173419 2299383 2897892 3065844 4346838 4598766 6898149 8693676 9197532 13796298 25804187 27592596 51608374 77412561 103216748 154825122 203623139 232237683 309650244 407246278 464475366 610869417 696713049 814492556 928950732 1221738834 1393426098 1832608251 2443477668 2786852196 3665216502 5497824753 7330433004 10995649506 20565937039 21991299012 41131874078 61697811117 82263748156 123395622234 185093433351 246791244468 370186866702 555280300053 740373733404 1110560600106 2221121200212