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122022001011222 = 23313171917315532003
BaseRepresentation
bin11011101111101001110110…
…000001100110101000010110
3121000001012010001102001112000
4123233221312001212220112
5111443202024224324342
61111304044451540130
734462540636202124
oct3357516601465026
9530035101361460
10122022001011222
11359752705113a4
12118288212ba646
135311818aa8380
14221bc79884914
15e19113db144c
hex6efa76066a16

122022001011222 has 512 divisors, whose sum is σ = 327725143603200. Its totient is φ = 33245316808704.

The previous prime is 122022001011221. The next prime is 122022001011283. The reversal of 122022001011222 is 222110100220221.

It is a happy number.

122022001011222 is a `hidden beast` number, since 1 + 220 + 2 + 200 + 10 + 11 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122022001011195 and 122022001011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022001011221) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60919620073 + ... + 60919622075.

It is an arithmetic number, because the mean of its divisors is an integer number (640088171100).

Almost surely, 2122022001011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022001011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163862571801600).

122022001011222 is an abundant number, since it is smaller than the sum of its proper divisors (205703142591978).

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

122022001011222 is a wasteful number, since it uses less digits than its factorization.

122022001011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3783 counting only the distinct ones).

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

Adding to 122022001011222 its reverse (222110100220221), we get a palindrome (344132101231443).

The spelling of 122022001011222 in words is "one hundred twenty-two trillion, twenty-two billion, one million, eleven thousand, two hundred twenty-two".