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20211222121020 = 223357157193176459
BaseRepresentation
bin1001001100001110010101…
…01101110000101000111100
32122120011200211011000011000
410212013022231300220330
510122120040330333040
6110552523545130300
74154132632310610
oct446071255605074
978504624130130
1020211222121020
116492592a88917
1223250a1489990
13b37baa55b4b8
144dc32a90d340
15250b18623130
hex1261cab70a3c

20211222121020 has 384 divisors, whose sum is σ = 72694969804800. Its totient is φ = 4566473293824.

The previous prime is 20211222121001. The next prime is 20211222121039. The reversal of 20211222121020 is 2012122211202.

It is a happy number.

20211222121020 is a `hidden beast` number, since 2 + 0 + 211 + 2 + 221 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20211222121001) and next prime (20211222121039).

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 = 20211222120984 and 20211222121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114449551 + ... + 114626009.

It is an arithmetic number, because the mean of its divisors is an integer number (189309817200).

Almost surely, 220211222121020 is an apocalyptic number.

20211222121020 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 20211222121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36347484902400).

20211222121020 is an abundant number, since it is smaller than the sum of its proper divisors (52483747683780).

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

20211222121020 is a wasteful number, since it uses less digits than its factorization.

20211222121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176834 (or 176826 counting only the distinct ones).

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

Adding to 20211222121020 its reverse (2012122211202), we get a palindrome (22223344332222).

The spelling of 20211222121020 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty".