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1220061712 = 24175578053
BaseRepresentation
bin100100010111000…
…1010101000010000
310011000202120000211
41020232022220100
54444313433322
6321022053504
742143232142
oct11056125020
93130676024
101220061712
11576769471
122a071a294
131659c9a0c
14b8072c92
157219eb77
hex48b8aa10

1220061712 has 40 divisors (see below), whose sum is σ = 2507725656. Its totient is φ = 573044736.

The previous prime is 1220061707. The next prime is 1220061727. The reversal of 1220061712 is 2171600221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 224280576 + 995781136 = 14976^2 + 31556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147478 + ... + 155530.

Almost surely, 21220061712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220061712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253862828).

1220061712 is an abundant number, since it is smaller than the sum of its proper divisors (1287663944).

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

1220061712 is a wasteful number, since it uses less digits than its factorization.

1220061712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1220061712 is about 34929.3817866850. The cubic root of 1220061712 is about 1068.5477465409.

Adding to 1220061712 its reverse (2171600221), we get a palindrome (3391661933).

The spelling of 1220061712 in words is "one billion, two hundred twenty million, sixty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 557 1114 2228 4456 8053 8912 9469 16106 18938 32212 37876 64424 75752 128848 136901 151504 273802 547604 1095208 2190416 4485521 8971042 17942084 35884168 71768336 76253857 152507714 305015428 610030856 1220061712