Search a number
-
+
12000021020010 = 2325884991506611
BaseRepresentation
bin1010111010011111100011…
…1111010111110101101010
31120111012011002122000211100
42232213320333113311222
53033102020340120020
641304422240342230
72345654464460232
oct256477077276552
946435132560740
1012000021020010
1139071a9031511
121419826914976
1369079bb6c36a
142d6b386d0cc2
1515c234bc3a90
hexae9f8fd7d6a

12000021020010 has 48 divisors (see below), whose sum is σ = 31200427908000. Its totient is φ = 3199967322720.

The previous prime is 12000021019957. The next prime is 12000021020047. The reversal of 12000021020010 is 1002012000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000021019974 and 12000021020001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7211605 + ... + 8718215.

It is an arithmetic number, because the mean of its divisors is an integer number (650008914750).

Almost surely, 212000021020010 is an apocalyptic number.

12000021020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000021020010 is an abundant number, since it is smaller than the sum of its proper divisors (19200406887990).

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

12000021020010 is a wasteful number, since it uses less digits than its factorization.

12000021020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595123 (or 1595120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000021020010 its reverse (1002012000021), we get a palindrome (13002033020031).

The spelling of 12000021020010 in words is "twelve trillion, twenty-one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 88499 176998 265497 442495 530994 796491 884990 1327485 1506611 1592982 2654970 3013222 3982455 4519833 7533055 7964910 9039666 13559499 15066110 22599165 27118998 45198330 67797495 135594990 133333566889 266667133778 400000700667 666667834445 800001401334 1200002102001 1333335668890 2000003503335 2400004204002 4000007006670 6000010510005 12000021020010