Search a number
-
+
1221220020 = 223581125097
BaseRepresentation
bin100100011001010…
…0101011010110100
310011002221101221010
41020302211122310
510000113020040
6321102552220
742156125136
oct11062453264
93132841833
101221220020
1157738a749
122a0b98670
13166013cc7
14b8295056
157232ce80
hex48ca56b4

1221220020 has 48 divisors (see below), whose sum is σ = 3423768768. Its totient is φ = 325244160.

The previous prime is 1221220001. The next prime is 1221220027. The reversal of 1221220020 is 200221221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1221219978 and 1221220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221220027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36112 + ... + 61208.

It is an arithmetic number, because the mean of its divisors is an integer number (71328516).

Almost surely, 21221220020 is an apocalyptic number.

1221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221220020 is an abundant number, since it is smaller than the sum of its proper divisors (2202548748).

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

1221220020 is a wasteful number, since it uses less digits than its factorization.

1221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25920 (or 25918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1221220020 is about 34945.9585646180. The cubic root of 1221220020 is about 1068.8857939011.

Adding to 1221220020 its reverse (200221221), we get a palindrome (1421441241).

The spelling of 1221220020 in words is "one billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 811 1622 2433 3244 4055 4866 8110 9732 12165 16220 24330 25097 48660 50194 75291 100388 125485 150582 250970 301164 376455 501940 752910 1505820 20353667 40707334 61061001 81414668 101768335 122122002 203536670 244244004 305305005 407073340 610610010 1221220020