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121222010120220 = 2232517235281326149
BaseRepresentation
bin11011100100000000110010…
…110110100010100000011100
3120220012201012022102002201200
4123210000302312202200130
5111342100134042321340
61105452342254435500
734351000262626002
oct3344006266424034
9526181168362650
10121222010120220
1135696a695093a9
1211719779b02b90
13528425699ab49
1421d1268810a72
15e033e17bd330
hex6e4032da281c

121222010120220 has 288 divisors, whose sum is σ = 406342426089600. Its totient is φ = 29095950090240.

The previous prime is 121222010120083. The next prime is 121222010120231. The reversal of 121222010120220 is 22021010222121.

It is a happy number.

121222010120220 is a `hidden beast` number, since 1 + 2 + 122 + 201 + 0 + 120 + 220 = 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 = 121222010120193 and 121222010120202.

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 95 ways as a sum of consecutive naturals, for example, 371513706 + ... + 371839854.

It is an arithmetic number, because the mean of its divisors is an integer number (1410911201700).

Almost surely, 2121222010120220 is an apocalyptic number.

121222010120220 is a gapful number since it is divisible by the number (10) 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 121222010120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203171213044800).

121222010120220 is an abundant number, since it is smaller than the sum of its proper divisors (285120415969380).

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

121222010120220 is a wasteful number, since it uses less digits than its factorization.

121222010120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331485 (or 331480 counting only the distinct ones).

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

Adding to 121222010120220 its reverse (22021010222121), we get a palindrome (143243020342341).

The spelling of 121222010120220 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, ten million, one hundred twenty thousand, two hundred twenty".