Search a number
-
+
12216869712000 = 27355341173443
BaseRepresentation
bin1011000111000111011000…
…1011011111000010000000
31121020220212122200221200000
42301301312023133002000
53100130122121241000
641552204044400000
72400432264110232
oct261616613370200
947226778627600
1012216869712000
113990166506348
121453864b46000
136a8079a15565
1430342a346252
15162bc73d3000
hexb1c762df080

12216869712000 has 1536 divisors, whose sum is σ = 46983749379840. Its totient is φ = 3152867328000.

The previous prime is 12216869711993. The next prime is 12216869712017. The reversal of 12216869712000 is 21796861221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27577583779 + ... + 27577584221.

Almost surely, 212216869712000 is an apocalyptic number.

12216869712000 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 12216869712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23491874689920).

12216869712000 is an abundant number, since it is smaller than the sum of its proper divisors (34766879667840).

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

12216869712000 is an equidigital number, since it uses as much as digits as its factorization.

12216869712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12216869712000 in words is "twelve trillion, two hundred sixteen billion, eight hundred sixty-nine million, seven hundred twelve thousand".