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122200001222112 = 253211223091518691
BaseRepresentation
bin11011110010001111100111…
…101010100001010111100000
3121000200012120012012122211100
4123302033213222201113200
5112004111100303101422
61111521523334114400
734511441643056232
oct3362174752412740
9530605505178740
10122200001222112
1135a33802a40400
12118572191aba00
13532554531a548
142226723c3c252
15e1da80c497ac
hex6f23e7aa15e0

122200001222112 has 216 divisors, whose sum is σ = 382135361648040. Its totient is φ = 37014241651200.

The previous prime is 122200001222107. The next prime is 122200001222161. The reversal of 122200001222112 is 211222100002221.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 79704687 + ... + 81223377.

It is an arithmetic number, because the mean of its divisors is an integer number (1769145192815).

Almost surely, 2122200001222112 is an apocalyptic number.

122200001222112 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 122200001222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191067680824020).

122200001222112 is an abundant number, since it is smaller than the sum of its proper divisors (259935360425928).

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

122200001222112 is a wasteful number, since it uses less digits than its factorization.

122200001222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521038 (or 1521016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122200001222112 its reverse (211222100002221), we get a palindrome (333422101224333).

The spelling of 122200001222112 in words is "one hundred twenty-two trillion, two hundred billion, one million, two hundred twenty-two thousand, one hundred twelve".