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122122111104 = 27357560893
BaseRepresentation
bin111000110111100001…
…0111000100010000000
3102200012220022000200000
41301233002320202000
54000101230023404
6132034020400000
711552204550150
oct1615702704200
9380186260600
10122122111104
1147878825654
121b802546000
13b692a47506
145ca710a760
15329b439339
hex1c6f0b8880

122122111104 has 192 divisors, whose sum is σ = 416497448640. Its totient is φ = 34891969536.

The previous prime is 122122111099. The next prime is 122122111123. The reversal of 122122111104 is 401111221221.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62719 + ... + 498174.

It is an arithmetic number, because the mean of its divisors is an integer number (2169257545).

Almost surely, 2122122111104 is an apocalyptic number.

122122111104 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 122122111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208248724320).

122122111104 is an abundant number, since it is smaller than the sum of its proper divisors (294375337536).

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

122122111104 is an frugal number, since it uses more digits than its factorization.

122122111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560929 (or 560905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122122111104 its reverse (401111221221), we get a palindrome (523233332325).

The spelling of 122122111104 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred four".