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20221212102120 = 2333518723344539
BaseRepresentation
bin1001001100100000111100…
…01010100000110111101000
32122121010111001001121221000
410212100132022200313220
510122301020244231440
6111001255133115000
74154635325614131
oct446203612406750
978533431047830
1020221212102120
11649684a07a547
12232700b028a60
13b38b1014b613
144dc9d75c4c88
152510006a2730
hex12641e2a0de8

20221212102120 has 64 divisors (see below), whose sum is σ = 67404040344000. Its totient is φ = 5392323226944.

The previous prime is 20221212102103. The next prime is 20221212102121. The reversal of 20221212102120 is 2120121212202.

It is a happy number.

20221212102120 is a `hidden beast` number, since 2 + 0 + 221 + 21 + 210 + 212 + 0 = 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 = 20221212102093 and 20221212102102.

It is not an unprimeable number, because it can be changed into a prime (20221212102121) by changing a digit.

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, 9361671190 + ... + 9361673349.

It is an arithmetic number, because the mean of its divisors is an integer number (1053188130375).

Almost surely, 220221212102120 is an apocalyptic number.

20221212102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221212102120 is an abundant number, since it is smaller than the sum of its proper divisors (47182828241880).

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

20221212102120 is a wasteful number, since it uses less digits than its factorization.

20221212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18723344559 (or 18723344549 counting only the distinct ones).

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

Adding to 20221212102120 its reverse (2120121212202), we get a palindrome (22341333314322).

The spelling of 20221212102120 in words is "twenty trillion, two hundred twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 18723344539 37446689078 56170033617 74893378156 93616722695 112340067234 149786756312 168510100851 187233445390 224680134468 280850168085 337020201702 374466890780 449360268936 505530302553 561700336170 674040403404 748933781560 842550504255 1011060605106 1123400672340 1348080806808 1685101008510 2022121210212 2246801344680 2527651512765 3370202017020 4044242420424 5055303025530 6740404034040 10110606051060 20221212102120