Search a number
-
+
12220033022320 = 245152750412779
BaseRepresentation
bin1011000111010011001010…
…1110100011100101110000
31121021020001010000202122111
42301310302232203211300
53100203111423203240
641553450005215104
72400603544600264
oct261646256434560
947236033022574
1012220033022320
11399153a07a1a2
1214543a8401494
136a84621a9206
1430364a5000a4
15162d0ee851ea
hexb1d32ba3970

12220033022320 has 20 divisors (see below), whose sum is σ = 28411576777080. Its totient is φ = 4888013208896.

The previous prime is 12220033022303. The next prime is 12220033022321. The reversal of 12220033022320 is 2322033002221.

12220033022320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12220033022291 and 12220033022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220033022321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76375206310 + ... + 76375206469.

It is an arithmetic number, because the mean of its divisors is an integer number (1420578838854).

Almost surely, 212220033022320 is an apocalyptic number.

12220033022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220033022320 is an abundant number, since it is smaller than the sum of its proper divisors (16191543754760).

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

12220033022320 is a wasteful number, since it uses less digits than its factorization.

12220033022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152750412792 (or 152750412786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12220033022320 its reverse (2322033002221), we get a palindrome (14542066024541).

The spelling of 12220033022320 in words is "twelve trillion, two hundred twenty billion, thirty-three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152750412779 305500825558 611001651116 763752063895 1222003302232 1527504127790 2444006604464 3055008255580 6110016511160 12220033022320