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1220002120 = 235109279817
BaseRepresentation
bin100100010110111…
…1100000101001000
310011000122112021201
41020231330011020
54444310031440
6321020513544
742142563331
oct11055740510
93130575251
101220002120
11576728717
122a06ab8b4
131659a885c
14b8059288
157218c19a
hex48b7c148

1220002120 has 32 divisors (see below), whose sum is σ = 2770198200. Its totient is φ = 483522048.

The previous prime is 1220002097. The next prime is 1220002139. The reversal of 1220002120 is 212000221.

1220002120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1147989924 + 72012196 = 33882^2 + 8486^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1220002097 and 1220002106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135549 + ... + 144268.

Almost surely, 21220002120 is an apocalyptic number.

1220002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220002120 is an abundant number, since it is smaller than the sum of its proper divisors (1550196080).

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

1220002120 is a wasteful number, since it uses less digits than its factorization.

1220002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279937 (or 279933 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1220002120 is about 34928.5287408445. The cubic root of 1220002120 is about 1068.5303490783.

Adding to 1220002120 its reverse (212000221), we get a palindrome (1432002341).

The spelling of 1220002120 in words is "one billion, two hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 279817 559634 1119268 1399085 2238536 2798170 5596340 11192680 30500053 61000106 122000212 152500265 244000424 305000530 610001060 1220002120