Search a number
-
+
1001221200012 = 223112689546281
BaseRepresentation
bin11101001000111010110…
…11110001100010001100
310112201022211022210222010
432210131123301202030
5112401000111400022
62043542113021220
7132223123531635
oct16443533614214
93481284283863
101001221200012
113566852a1600
12142062b54810
13735512a36b7
14366606d488c
151b09da8d50c
hexe91d6f188c

1001221200012 has 36 divisors (see below), whose sum is σ = 2567870354168. Its totient is φ = 303400363200.

The previous prime is 1001221200011. The next prime is 1001221200037. The reversal of 1001221200012 is 2100021221001.

1001221200012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001221200011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344771689 + ... + 344774592.

Almost surely, 21001221200012 is an apocalyptic number.

1001221200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001221200012 is an abundant number, since it is smaller than the sum of its proper divisors (1566649154156).

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

1001221200012 is a wasteful number, since it uses less digits than its factorization.

1001221200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689546310 (or 689546297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001221200012 its reverse (2100021221001), we get a palindrome (3101242421013).

The spelling of 1001221200012 in words is "one trillion, one billion, two hundred twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 689546281 1379092562 2068638843 2758185124 4137277686 7585009091 8274555372 15170018182 22755027273 30340036364 45510054546 83435100001 91020109092 166870200002 250305300003 333740400004 500610600006 1001221200012