Search a number
-
+
12000012021000 = 23325343241128663
BaseRepresentation
bin1010111010011111100001…
…1101000010110100001000
31120111012010110200211111200
42232213320131002310020
53033102011034133000
641304421315424200
72345654325130113
oct256477035026410
946435113624450
1012000012021000
1139071a3a45413
1214198238b5060
1369079a03b2c3
142d6b3742b57a
1515c233ee7500
hexae9f8742d08

12000012021000 has 384 divisors, whose sum is σ = 41675834154240. Its totient is φ = 3112591104000.

The previous prime is 12000012020999. The next prime is 12000012021017. The reversal of 12000012021000 is 12021000021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93202669 + ... + 93331331.

It is an arithmetic number, because the mean of its divisors is an integer number (108530818110).

Almost surely, 212000012021000 is an apocalyptic number.

12000012021000 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 12000012021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837917077120).

12000012021000 is an abundant number, since it is smaller than the sum of its proper divisors (29675822133240).

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

12000012021000 is a wasteful number, since it uses less digits than its factorization.

12000012021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128974 (or 128957 counting only the distinct ones).

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

Adding to 12000012021000 its reverse (12021000021), we get a palindrome (12012033021021).

The spelling of 12000012021000 in words is "twelve trillion, twelve million, twenty-one thousand".