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1222022112 = 25367313607
BaseRepresentation
bin100100011010110…
…1001001111100000
310011011110011012020
41020311221033200
510000314201422
6321132101440
742166005453
oct11065511740
93134404166
101222022112
11577888333
122a1304880
1316623510c
14b842349a
157243a95c
hex48d693e0

1222022112 has 96 divisors (see below), whose sum is σ = 3271468032. Its totient is φ = 399320064.

The previous prime is 1222022063. The next prime is 1222022119. The reversal of 1222022112 is 2112202221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1222022091 and 1222022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222022119) 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, 2012913 + ... + 2013519.

It is an arithmetic number, because the mean of its divisors is an integer number (34077792).

Almost surely, 21222022112 is an apocalyptic number.

1222022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635734016).

1222022112 is an abundant number, since it is smaller than the sum of its proper divisors (2049445920).

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

1222022112 is a wasteful number, since it uses less digits than its factorization.

1222022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1222022112 is about 34957.4328576914. The cubic root of 1222022112 is about 1069.1197558676.

Adding to 1222022112 its reverse (2112202221), we get a palindrome (3334224333).

The spelling of 1222022112 in words is "one billion, two hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 313 402 536 607 626 804 939 1072 1214 1252 1608 1821 1878 2144 2428 2504 3216 3642 3756 4856 5008 6432 7284 7512 9712 10016 14568 15024 19424 20971 29136 30048 40669 41942 58272 62913 81338 83884 122007 125826 162676 167768 189991 244014 251652 325352 335536 379982 488028 503304 569973 650704 671072 759964 976056 1006608 1139946 1301408 1519928 1952112 2013216 2279892 3039856 3904224 4559784 6079712 9119568 12729397 18239136 25458794 38188191 50917588 76376382 101835176 152752764 203670352 305505528 407340704 611011056 1222022112