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20021200122012 = 223171374441161309
BaseRepresentation
bin1001000110101100011001…
…00001010111000010011100
32121220000012212020021210220
410203112030201113002130
510111011404212401022
6110325340134201340
74134325001052525
oct443261441270234
977800185207726
1020021200122012
116419a41576531
1222b42ab4b3250
13b22cb64c652b
144d3061aa584c
1524abe616385c
hex12358c85709c

20021200122012 has 96 divisors (see below), whose sum is σ = 49836721919040. Its totient is φ = 6233870254080.

The previous prime is 20021200121977. The next prime is 20021200122019. The reversal of 20021200122012 is 21022100212002.

It is a junction number, because it is equal to n+sod(n) for n = 20021200121982 and 20021200122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021200122019) 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 31 ways as a sum of consecutive naturals, for example, 124036414 + ... + 124197722.

It is an arithmetic number, because the mean of its divisors is an integer number (519132519990).

Almost surely, 220021200122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021200122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918360959520).

20021200122012 is an abundant number, since it is smaller than the sum of its proper divisors (29815521797028).

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

20021200122012 is a wasteful number, since it uses less digits than its factorization.

20021200122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165911 (or 165909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20021200122012 its reverse (21022100212002), we get a palindrome (41043300334014).

The spelling of 20021200122012 in words is "twenty trillion, twenty-one billion, two hundred million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 4441 4658 6987 8882 9316 13323 13974 17764 26646 27948 53292 75497 150994 161309 226491 301988 322618 452982 483927 608417 645236 905964 967854 1216834 1825251 1935708 2433668 2742253 3650502 5484506 7301004 8226759 10343089 10969012 16453518 20686178 22099333 31029267 32907036 41372356 44198666 62058534 66297999 88397332 124117068 132595998 265191996 375688661 716373269 751377322 1127065983 1432746538 1502754644 2149119807 2254131966 2865493076 4298239614 4508263932 8596479228 12178345573 24356691146 36535036719 48713382292 73070073438 98143137853 146140146876 196286275706 294429413559 392572551412 588858827118 1177717654236 1668433343501 3336866687002 5005300030503 6673733374004 10010600061006 20021200122012