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12122021010020 = 22523372396414649
BaseRepresentation
bin1011000001100110000011…
…0000011001101001100100
31120220212001111010122211212
42300121200300121221210
53042101344334310040
641440440215450552
72360533660333265
oct260314060315144
946825044118755
1012122021010020
113953a13926739
1214393b4386a58
1369c1424c936c
142dc9cd4cc96c
151604c5538d65
hexb0660c19a64

12122021010020 has 192 divisors, whose sum is σ = 27443743488000. Its totient is φ = 4485782568960.

The previous prime is 12122021010019. The next prime is 12122021010023. The reversal of 12122021010020 is 2001012022121.

It is a junction number, because it is equal to n+sod(n) for n = 12122021009977 and 12122021010004.

It is not an unprimeable number, because it can be changed into a prime (12122021010023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2607444656 + ... + 2607449304.

It is an arithmetic number, because the mean of its divisors is an integer number (142936164000).

Almost surely, 212122021010020 is an apocalyptic number.

12122021010020 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 12122021010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721871744000).

12122021010020 is an abundant number, since it is smaller than the sum of its proper divisors (15321722477980).

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

12122021010020 is a wasteful number, since it uses less digits than its factorization.

12122021010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122021010020 its reverse (2001012022121), we get a palindrome (14123033032141).

It can be divided in two parts, 1212202 and 1010020, that added together give a palindrome (2222222).

The spelling of 12122021010020 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, ten thousand, twenty".