Search a number
-
+
12211002010020 = 22351153619758997
BaseRepresentation
bin1011000110110001100001…
…1011111110100110100100
31121020100201201120210202110
42301230120123332212210
53100031113003310040
641545353515241020
72400134004343332
oct261543033764644
947210651523673
1012211002010020
113988725326a70
1214526a7a49170
136a765318b258
14303030d34b52
151629821ce980
hexb1b186fe9a4

12211002010020 has 384 divisors, whose sum is σ = 39024679260672. Its totient is φ = 2827277107200.

The previous prime is 12211002010007. The next prime is 12211002010037. The reversal of 12211002010020 is 2001020011221.

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 = 12211002009978 and 12211002010005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206947162 + ... + 207006158.

It is an arithmetic number, because the mean of its divisors is an integer number (101626768908).

Almost surely, 212211002010020 is an apocalyptic number.

12211002010020 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 12211002010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512339630336).

12211002010020 is an abundant number, since it is smaller than the sum of its proper divisors (26813677250652).

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

12211002010020 is a wasteful number, since it uses less digits than its factorization.

12211002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59231 (or 59229 counting only the distinct ones).

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

Adding to 12211002010020 its reverse (2001020011221), we get a palindrome (14212022021241).

The spelling of 12211002010020 in words is "twelve trillion, two hundred eleven billion, two million, ten thousand, twenty".