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1201044112 = 24192269773
BaseRepresentation
bin100011110010110…
…0111101010010000
310002200222100210021
41013211213222100
54424431402422
6315102313224
741522464222
oct10745475220
93080870707
101201044112
11566a5a244
12296288814
13161a9b7b8
14b5722412
1570694dc7
hex47967a90

1201044112 has 60 divisors (see below), whose sum is σ = 2468262780. Its totient is φ = 566067456.

The previous prime is 1201044109. The next prime is 1201044133. The reversal of 1201044112 is 2114401021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77721856 + 1123322256 = 8816^2 + 33516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1553358 + ... + 1554130.

It is an arithmetic number, because the mean of its divisors is an integer number (41137713).

Almost surely, 21201044112 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 1201044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234131390).

1201044112 is an abundant number, since it is smaller than the sum of its proper divisors (1267218668).

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

1201044112 is a wasteful number, since it uses less digits than its factorization.

1201044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1201044112 is about 34656.0833332331. The cubic root of 1201044112 is about 1062.9666838826.

Adding to 1201044112 its reverse (2114401021), we get a palindrome (3315445133).

The spelling of 1201044112 in words is "one billion, two hundred one million, forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 269 304 361 538 722 773 1076 1444 1546 2152 2888 3092 4304 5111 5776 6184 10222 12368 14687 20444 29374 40888 58748 81776 97109 117496 194218 207937 234992 279053 388436 415874 558106 776872 831748 1116212 1553744 1663496 2232424 3326992 3950803 4464848 7901606 15803212 31606424 63212848 75065257 150130514 300261028 600522056 1201044112