Search a number
-
+
1221012000020 = 225337118110531
BaseRepresentation
bin10001110001001001111…
…111001000110100010100
311022201122102111022021102
4101301021333020310110
5130001113033000040
62332531500405232
7154133546520221
oct21611177106424
94281572438242
101221012000020
1143091249576a
12178782546818
138b1aa841807
1443150da2948
1521b64708515
hex11c49fc8d14

1221012000020 has 24 divisors (see below), whose sum is σ = 2564885983968. Its totient is φ = 488259888800.

The previous prime is 1221012000017. The next prime is 1221012000037. The reversal of 1221012000020 is 200002101221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1221011999965 and 1221012000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8987846 + ... + 9122685.

It is an arithmetic number, because the mean of its divisors is an integer number (106870249332).

Almost surely, 21221012000020 is an apocalyptic number.

1221012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221012000020 is an abundant number, since it is smaller than the sum of its proper divisors (1343873983948).

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

1221012000020 is a wasteful number, since it uses less digits than its factorization.

1221012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113911 (or 18113909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1221012000020 its reverse (200002101221), we get a palindrome (1421014101241).

The spelling of 1221012000020 in words is "one trillion, two hundred twenty-one billion, twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 3371 6742 13484 16855 33710 67420 18110531 36221062 72442124 90552655 181105310 362210620 61050600001 122101200002 244202400004 305253000005 610506000010 1221012000020