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122221021104 = 243271331436997
BaseRepresentation
bin111000111010011110…
…0001100011110110000
3102200110210102011200100
41301310330030132300
54000302040133404
6132051512352400
711554515352410
oct1616474143660
9380423364610
10122221021104
1147919642156
121b82b6a5700
13b6aa398b40
145cb62d6640
1532a4e75d39
hex1c74f0c7b0

122221021104 has 480 divisors, whose sum is σ = 444733313024. Its totient is φ = 30464501760.

The previous prime is 122221021103. The next prime is 122221021157. The reversal of 122221021104 is 401120122221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122221021103) 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 95 ways as a sum of consecutive naturals, for example, 17464134 + ... + 17471130.

Almost surely, 2122221021104 is an apocalyptic number.

122221021104 is a gapful number since it is divisible by the number (14) 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 122221021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222366656512).

122221021104 is an abundant number, since it is smaller than the sum of its proper divisors (322512291920).

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

122221021104 is a wasteful number, since it uses less digits than its factorization.

122221021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7096 counting only the distinct ones).

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

Adding to 122221021104 its reverse (401120122221), we get a palindrome (523341143325).

The spelling of 122221021104 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred four".