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12012001021020 = 22357311136776029
BaseRepresentation
bin1010111011001100001100…
…0011011100110001011100
31120112100002000010010201110
42232303003003130301130
53033301034230133040
641314123113342020
72346560404011000
oct256630303346134
946470060103643
1012012001021020
1139112964735a0
12142000aa07910
1369195ab21060
142d75537c4700
1515c6d67e3980
hexaecc30dcc5c

12012001021020 has 768 divisors, whose sum is σ = 46155723264000. Its totient is φ = 2300215357440.

The previous prime is 12012001020997. The next prime is 12012001021021. The reversal of 12012001021020 is 2012010021021.

12012001021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12012001020987 and 12012001021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012001021021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1992367366 + ... + 1992373394.

It is an arithmetic number, because the mean of its divisors is an integer number (60098598000).

Almost surely, 212012001021020 is an apocalyptic number.

12012001021020 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 12012001021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23077861632000).

12012001021020 is an abundant number, since it is smaller than the sum of its proper divisors (34143722242980).

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

12012001021020 is a wasteful number, since it uses less digits than its factorization.

12012001021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012001021020 its reverse (2012010021021), we get a palindrome (14024011042041).

Subtracting from 12012001021020 its reverse (2012010021021), we obtain a palindrome (9999990999999).

The spelling of 12012001021020 in words is "twelve trillion, twelve billion, one million, twenty-one thousand, twenty".