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112214224122 = 2371121367101251
BaseRepresentation
bin110100010000001111…
…1010010110011111010
3101201122101212012211220
41220200133102303322
53314303320132442
6123314524132510
711051526111240
oct1504037226372
9351571765756
10112214224122
1143654005500
12198b8397136
13a77416b9b0
1456072c4790
152dbb6c3eec
hex1a207d2cfa

112214224122 has 384 divisors, whose sum is σ = 312435615744. Its totient is φ = 26136000000.

The previous prime is 112214224081. The next prime is 112214224127. The reversal of 112214224122 is 221422412211.

It is a junction number, because it is equal to n+sod(n) for n = 112214224092 and 112214224101.

It is not an unprimeable number, because it can be changed into a prime (112214224127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 447068497 + ... + 447068747.

It is an arithmetic number, because the mean of its divisors is an integer number (813634416).

Almost surely, 2112214224122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112214224122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156217807872).

112214224122 is an abundant number, since it is smaller than the sum of its proper divisors (200221391622).

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

112214224122 is a wasteful number, since it uses less digits than its factorization.

112214224122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 112214224122 its reverse (221422412211), we get a palindrome (333636636333).

It can be divided in two parts, 11 and 2214224122, that multiplied together give a palindrome (24356465342).

The spelling of 112214224122 in words is "one hundred twelve billion, two hundred fourteen million, two hundred twenty-four thousand, one hundred twenty-two".