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1201021312 = 27192917029
BaseRepresentation
bin100011110010110…
…0010000110000000
310002200221012111211
41013211202012000
54424430140222
6315102015504
741522340601
oct10745420600
93080835454
101201021312
11566a440a7
12296277594
13161a912ca
14b5717da8
157068d277
hex47962180

1201021312 has 64 divisors (see below), whose sum is σ = 2605590000. Its totient is φ = 549255168.

The previous prime is 1201021307. The next prime is 1201021319. The reversal of 1201021312 is 2131201021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1201021292 and 1201021301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201021319) by changing a digit.

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, 62014 + ... + 79042.

Almost surely, 21201021312 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 1201021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302795000).

1201021312 is an abundant number, since it is smaller than the sum of its proper divisors (1404568688).

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

1201021312 is a wasteful number, since it uses less digits than its factorization.

1201021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1201021312 is about 34655.7543850945. The cubic root of 1201021312 is about 1062.9599575702.

Adding to 1201021312 its reverse (2131201021), we get a palindrome (3332222333).

The spelling of 1201021312 in words is "one billion, two hundred one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 464 551 608 928 1102 1216 1856 2204 2432 3712 4408 8816 17029 17632 34058 35264 68116 70528 136232 272464 323551 493841 544928 647102 987682 1089856 1294204 1975364 2179712 2588408 3950728 5176816 7901456 9382979 10353632 15802912 18765958 20707264 31605824 37531916 41414528 63211648 75063832 150127664 300255328 600510656 1201021312