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2221211210112 = 27331087591271
BaseRepresentation
bin100000010100101010100…
…000010101000110000000
321212100100000202122122000
4200110222200111012000
5242343020032210422
64420224344544000
7316322453523546
oct40245240250600
97770300678560
102221211210112
117870129040a4
122ba59b182000
131315c8178c3b
1479715a63d96
153cba36becac
hex2052a815180

2221211210112 has 128 divisors (see below), whose sum is σ = 6561700147200. Its totient is φ = 739721341440.

The previous prime is 2221211210081. The next prime is 2221211210123. The reversal of 2221211210112 is 2110121121222.

2221211210112 is a `hidden beast` number, since 222 + 121 + 1 + 210 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22212112101122 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3461037 + ... + 4052307.

It is an arithmetic number, because the mean of its divisors is an integer number (51263282400).

Almost surely, 22221211210112 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 2221211210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280850073600).

2221211210112 is an abundant number, since it is smaller than the sum of its proper divisors (4340488937088).

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

2221211210112 is a wasteful number, since it uses less digits than its factorization.

2221211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592381 (or 592363 counting only the distinct ones).

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

Adding to 2221211210112 its reverse (2110121121222), we get a palindrome (4331332331334).

The spelling of 2221211210112 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1087 1152 1728 2174 3261 3456 4348 6522 8696 9783 13044 17392 19566 26088 29349 34784 39132 52176 58698 69568 78264 104352 117396 139136 156528 208704 234792 313056 417408 469584 591271 626112 939168 1182542 1252224 1773813 1878336 2365084 3547626 3756672 4730168 5321439 7095252 9460336 10642878 14190504 15964317 18920672 21285756 28381008 31928634 37841344 42571512 56762016 63857268 75682688 85143024 113524032 127714536 170286048 227048064 255429072 340572096 510858144 642711577 681144192 1021716288 1285423154 1928134731 2043432576 2570846308 3856269462 5141692616 5784404193 7712538924 10283385232 11568808386 15425077848 17353212579 20566770464 23137616772 30850155696 34706425158 41133540928 46275233544 61700311392 69412850316 82267081856 92550467088 123400622784 138825700632 185100934176 246801245568 277651401264 370201868352 555302802528 740403736704 1110605605056 2221211210112