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12223111020032 = 29113170199871
BaseRepresentation
bin1011000111011110101000…
…1100001011111000000000
31121021111222121211020201202
42301313222030023320000
53100230412410120112
641555115241320332
72401043041256453
oct261675214137000
947244877736652
1012223111020032
113992879573460
121454b071960a8
136a8832a9c633
1430385d20b49a
15162e402d46c2
hexb1dea30be00

12223111020032 has 160 divisors (see below), whose sum is σ = 27541508087808. Its totient is φ = 5369011200000.

The previous prime is 12223111019983. The next prime is 12223111020037. The reversal of 12223111020032 is 23002011132221.

It is a junction number, because it is equal to n+sod(n) for n = 12223111019986 and 12223111020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223111020037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122339057 + ... + 122438927.

Almost surely, 212223111020032 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 12223111020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770754043904).

12223111020032 is an abundant number, since it is smaller than the sum of its proper divisors (15318397067776).

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

12223111020032 is an equidigital number, since it uses as much as digits as its factorization.

12223111020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100632 (or 100616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12223111020032 its reverse (23002011132221), we get a palindrome (35225122152253).

The spelling of 12223111020032 in words is "twelve trillion, two hundred twenty-three billion, one hundred eleven million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 701 704 992 1364 1402 1408 1984 2728 2804 2816 3968 5456 5608 5632 7711 7936 10912 11216 15422 15872 21731 21824 22432 30844 43462 43648 44864 61688 86924 87296 89728 99871 123376 173848 174592 179456 199742 239041 246752 347696 358912 399484 478082 493504 695392 798968 956164 987008 1098581 1390784 1597936 1912328 1974016 2197162 2781568 3096001 3195872 3824656 3948032 4394324 5563136 6192002 6391744 7649312 8788648 11126272 12384004 12783488 15298624 17577296 24768008 25566976 30597248 34056011 35154592 49536016 51133952 61194496 68112022 70009571 70309184 99072032 122388992 136224044 140019142 140618368 198144064 272448088 280038284 281236736 396288128 544896176 560076568 562473472 770105281 792576256 1089792352 1120153136 1540210562 1585152512 2170296701 2179584704 2240306272 3080421124 4340593402 4359169408 4480612544 6160842248 8681186804 8718338816 8961225088 12321684496 17362373608 17436677632 17922450176 23873263711 24643368992 34724747216 35844900352 47746527422 49286737984 69449494432 95493054844 98573475968 138898988864 190986109688 197146951936 277797977728 381972219376 394293903872 555595955456 763944438752 1111191910912 1527888877504 3055777755008 6111555510016 12223111020032