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112226262012 = 22326776161141
BaseRepresentation
bin110100010000100110…
…1001101101111111100
3101201200020111210201200
41220201031031233330
53314314410341022
6123320034135500
711052033326154
oct1504115155774
9351606453650
10112226262012
114365a887777
1219900421590
13a7767c4cc7
145608b39764
152dbc7a0bac
hex1a2134dbfc

112226262012 has 72 divisors (see below), whose sum is σ = 288300182352. Its totient is φ = 36801388800.

The previous prime is 112226261999. The next prime is 112226262019. The reversal of 112226262012 is 210262622211.

112226262012 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 626 + 20 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112226262019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1804962 + ... + 1866102.

Almost surely, 2112226262012 is an apocalyptic number.

112226262012 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 112226262012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144150091176).

112226262012 is an abundant number, since it is smaller than the sum of its proper divisors (176073920340).

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

112226262012 is a wasteful number, since it uses less digits than its factorization.

112226262012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61979 (or 61974 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 112226262012 its reverse (210262622211), we get a palindrome (322488884223).

The spelling of 112226262012 in words is "one hundred twelve billion, two hundred twenty-six million, two hundred sixty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 761 804 1206 1522 2283 2412 3044 4566 6849 9132 13698 27396 50987 61141 101974 122282 152961 183423 203948 244564 305922 366846 458883 550269 611844 733692 917766 1100538 1835532 2201076 4096447 8192894 12289341 16385788 24578682 36868023 46528301 49157364 73736046 93056602 139584903 147472092 186113204 279169806 418754709 558339612 837509418 1675018836 3117396167 6234792334 9352188501 12469584668 18704377002 28056565503 37408754004 56113131006 112226262012