Search a number
-
+
12233010220032 = 210377168311731
BaseRepresentation
bin1011001000000011100000…
…1110101000110000000000
31121022110112111220201020210
42302000320032220300000
53100411201104020112
642003433423434120
72401543253135040
oct262007016506000
947273474821223
1012233010220032
113996a9939a988
121456a0a455940
136a974c926124
1430411bc11720
1516331e3d0b3c
hexb20383a8c00

12233010220032 has 352 divisors, whose sum is σ = 37846739718144. Its totient is φ = 3440579788800.

The previous prime is 12233010220027. The next prime is 12233010220049. The reversal of 12233010220032 is 23002201033221.

It is a happy number.

It is a super-2 number, since 2×122330102200322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12233010219990 and 12233010220008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042787607 + ... + 1042799337.

Almost surely, 212233010220032 is an apocalyptic number.

12233010220032 is a gapful number since it is divisible by the number (12) 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 12233010220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923369859072).

12233010220032 is an abundant number, since it is smaller than the sum of its proper divisors (25613729498112).

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

12233010220032 is a wasteful number, since it uses less digits than its factorization.

12233010220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12233010220032 its reverse (23002201033221), we get a palindrome (35235211253253).

The spelling of 12233010220032 in words is "twelve trillion, two hundred thirty-three billion, ten million, two hundred twenty thousand, thirty-two".