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1200111012 = 223353712953
BaseRepresentation
bin100011110001000…
…0011110110100100
310002122012221211000
41013202003312210
54424212023022
6315030313300
741511526632
oct10742036644
93078187730
101200111012
11566482191
12295ab8830
13161832b79
14b555c352
157055d6ac
hex47883da4

1200111012 has 96 divisors (see below), whose sum is σ = 3215842560. Its totient is φ = 386830080.

The previous prime is 1200111007. The next prime is 1200111013. The reversal of 1200111012 is 2101110021.

It is a happy number.

It is a super-2 number, since 2×12001110122 = 2880532882247328288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200110985 and 1200111003.

It is not an unprimeable number, because it can be changed into a prime (1200111013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404928 + ... + 407880.

It is an arithmetic number, because the mean of its divisors is an integer number (33498360).

Almost surely, 21200111012 is an apocalyptic number.

1200111012 is a gapful number since it is divisible by the number (12) 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 1200111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607921280).

1200111012 is an abundant number, since it is smaller than the sum of its proper divisors (2015731548).

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

1200111012 is a wasteful number, since it uses less digits than its factorization.

1200111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1200111012 is about 34642.6184345237. The cubic root of 1200111012 is about 1062.6913370203.

Adding to 1200111012 its reverse (2101110021), we get a palindrome (3301221033).

Subtracting 1200111012 from its reverse (2101110021), we obtain a palindrome (900999009).

The spelling of 1200111012 in words is "one billion, two hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 71 106 108 142 159 212 213 284 318 426 477 636 639 852 954 1278 1431 1908 1917 2556 2862 2953 3763 3834 5724 5906 7526 7668 8859 11289 11812 15052 17718 22578 26577 33867 35436 45156 53154 67734 79731 101601 106308 135468 156509 159462 203202 209663 313018 318924 406404 419326 469527 626036 628989 838652 939054 1257978 1408581 1878108 1886967 2515956 2817162 3773934 4225743 5634324 5660901 7547868 8451486 11112139 11321802 16902972 22224278 22643604 33336417 44448556 66672834 100009251 133345668 200018502 300027753 400037004 600055506 1200111012