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21120202121220 = 2232517311514013677
BaseRepresentation
bin1001100110101011011100…
…01001010010000000000100
32202210001221012101100211100
410303111232021102000010
510232013133220334340
6112530253101140100
74306612203654006
oct463255611220004
982701835340740
1021120202121220
116803033549784
1224512a0b5a630
13ba281b5b4597
1453031a7c2376
152695b91ca830
hex13356e252004

21120202121220 has 576 divisors, whose sum is σ = 70679992061952. Its totient is φ = 5081702400000.

The previous prime is 21120202121219. The next prime is 21120202121231. The reversal of 21120202121220 is 2212120202112.

It is a happy number.

21120202121220 is a `hidden beast` number, since 2 + 1 + 120 + 202 + 121 + 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 = 21120202121193 and 21120202121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5743866022 + ... + 5743869698.

It is an arithmetic number, because the mean of its divisors is an integer number (122708319552).

Almost surely, 221120202121220 is an apocalyptic number.

21120202121220 is a gapful number since it is divisible by the number (20) 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 21120202121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35339996030976).

21120202121220 is an abundant number, since it is smaller than the sum of its proper divisors (49559789940732).

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

21120202121220 is a wasteful number, since it uses less digits than its factorization.

21120202121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4287 counting only the distinct ones).

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

Adding to 21120202121220 its reverse (2212120202112), we get a palindrome (23332322323332).

The spelling of 21120202121220 in words is "twenty-one trillion, one hundred twenty billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty".