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122221020020 = 225111992791709
BaseRepresentation
bin111000111010011110…
…0001100001101110100
3102200110210102010012012
41301310330030031310
54000302040120040
6132051512343352
711554515346301
oct1616474141564
9380423363165
10122221020020
1147919641360
121b82b6a4b58
13b6aa3984b8
145cb62d60a8
1532a4e75865
hex1c74f0c374

122221020020 has 48 divisors (see below), whose sum is σ = 281404368000. Its totient is φ = 44220654720.

The previous prime is 122221020017. The next prime is 122221020037. The reversal of 122221020020 is 20020122221.

It is a junction number, because it is equal to n+sod(n) for n = 122221019977 and 122221020004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1352075 + ... + 1439634.

It is an arithmetic number, because the mean of its divisors is an integer number (5862591000).

Almost surely, 2122221020020 is an apocalyptic number.

122221020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221020020 is an abundant number, since it is smaller than the sum of its proper divisors (159183347980).

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

122221020020 is a wasteful number, since it uses less digits than its factorization.

122221020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791928 (or 2791926 counting only the distinct ones).

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

Adding to 122221020020 its reverse (20020122221), we get a palindrome (142241142241).

The spelling of 122221020020 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 21890 43780 2791709 5583418 11166836 13958545 27917090 30708799 55834180 61417598 122835196 153543995 307087990 555550091 614175980 1111100182 2222200364 2777750455 5555500910 6111051001 11111001820 12222102002 24444204004 30555255005 61110510010 122221020020