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122122112022 = 23310124419173
BaseRepresentation
bin111000110111100001…
…0111000110000010110
3102200012220022001221000
41301233002320300112
54000101230041042
6132034020404130
711552204552631
oct1615702706026
9380186261830
10122122112022
1147878826309
121b802546646
13b692a47a61
145ca710ac18
15329b43974c
hex1c6f0b8c16

122122112022 has 64 divisors (see below), whose sum is σ = 274211593920. Its totient is φ = 40283424000.

The previous prime is 122122112017. The next prime is 122122112069. The reversal of 122122112022 is 220211221221.

It is a happy number.

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 = 122122111986 and 122122112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13308628 + ... + 13317800.

It is an arithmetic number, because the mean of its divisors is an integer number (4284556155).

Almost surely, 2122122112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137105796960).

122122112022 is an abundant number, since it is smaller than the sum of its proper divisors (152089481898).

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

122122112022 is a wasteful number, since it uses less digits than its factorization.

122122112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726 (or 11720 counting only the distinct ones).

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

Adding to 122122112022 its reverse (220211221221), we get a palindrome (342333333243).

The spelling of 122122112022 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2441 2727 4882 5454 7323 9173 14646 18346 21969 27519 43938 55038 65907 82557 131814 165114 246541 247671 493082 495342 739623 926473 1479246 1852946 2218869 2779419 4437738 5558838 6656607 8338257 13313214 16676514 22391293 25014771 44782586 50029542 67173879 134347758 201521637 403043274 604564911 1209129822 2261520593 4523041186 6784561779 13569123558 20353685337 40707370674 61061056011 122122112022