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122122000220 = 22511831166791
BaseRepresentation
bin111000110111100001…
…0011101011101011100
3102200012220002101120012
41301233002131131130
54000101213001340
6132034014142352
711552203605653
oct1615702353534
9380186071505
10122122000220
114787875a310
121b8024b19b8
13b692a08bbc
145ca70bc19a
15329b416565
hex1c6f09d75c

122122000220 has 48 divisors (see below), whose sum is σ = 279808252416. Its totient is φ = 44401992000.

The previous prime is 122122000201. The next prime is 122122000229. The reversal of 122122000220 is 22000221221.

It is a junction number, because it is equal to n+sod(n) for n = 122122000195 and 122122000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122000229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795025 + ... + 1861815.

It is an arithmetic number, because the mean of its divisors is an integer number (5829338592).

Almost surely, 2122122000220 is an apocalyptic number.

122122000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122000220 is an abundant number, since it is smaller than the sum of its proper divisors (157686252196).

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

122122000220 is a wasteful number, since it uses less digits than its factorization.

122122000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75122 (or 75120 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122122000220 its reverse (22000221221), we get a palindrome (144122221441).

The spelling of 122122000220 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 8311 16622 33244 41555 66791 83110 91421 133582 166220 182842 267164 333955 365684 457105 667910 734701 914210 1335820 1469402 1828420 2938804 3673505 7347010 14694020 555100001 1110200002 2220400004 2775500005 5551000010 6106100011 11102000020 12212200022 24424400044 30530500055 61061000110 122122000220