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1121212320 = 253514591601
BaseRepresentation
bin100001011010100…
…0101011110100000
32220010202111011020
41002311011132200
54244012243240
6303131245440
736533101404
oct10265053640
92803674136
101121212320
11525993458
122735a9880
1314b399b57
14a8ca1104
15686760d0
hex42d457a0

1121212320 has 96 divisors (see below), whose sum is σ = 3536447040. Its totient is φ = 298598400.

The previous prime is 1121212277. The next prime is 1121212321. The reversal of 1121212320 is 232121211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121212320.

It is not an unprimeable number, because it can be changed into a prime (1121212321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 699520 + ... + 701120.

It is an arithmetic number, because the mean of its divisors is an integer number (36837990).

Almost surely, 21121212320 is an apocalyptic number.

1121212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768223520).

1121212320 is an abundant number, since it is smaller than the sum of its proper divisors (2415234720).

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

1121212320 is a wasteful number, since it uses less digits than its factorization.

1121212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1121212320 is about 33484.5086569894. The cubic root of 1121212320 is about 1038.8733855209.

Adding to 1121212320 its reverse (232121211), we get a palindrome (1353333531).

It can be divided in two parts, 11212 and 12320, that added together give a palindrome (23532).

The spelling of 1121212320 in words is "one billion, one hundred twenty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1459 1601 2918 3202 4377 4803 5836 6404 7295 8005 8754 9606 11672 12808 14590 16010 17508 19212 21885 23344 24015 25616 29180 32020 35016 38424 43770 46688 48030 51232 58360 64040 70032 76848 87540 96060 116720 128080 140064 153696 175080 192120 233440 256160 350160 384240 700320 768480 2335859 4671718 7007577 9343436 11679295 14015154 18686872 23358590 28030308 35037885 37373744 46717180 56060616 70075770 74747488 93434360 112121232 140151540 186868720 224242464 280303080 373737440 560606160 1121212320