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1201200012 = 2232436731153
BaseRepresentation
bin100011110011000…
…1101101110001100
310002201021021122100
41013212031232030
54430001400022
6315105515100
741524013565
oct10746155614
93081237570
101201200012
11567056391
12296342a90
13161b2474c
14b576316c
15706c61ac
hex4798db8c

1201200012 has 72 divisors (see below), whose sum is σ = 3114295184. Its totient is φ = 390168576.

The previous prime is 1201199963. The next prime is 1201200029. The reversal of 1201200012 is 2100021021.

1201200012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1201199967 and 1201200003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041228 + ... + 1042380.

Almost surely, 21201200012 is an apocalyptic number.

1201200012 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 1201200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557147592).

1201200012 is an abundant number, since it is smaller than the sum of its proper divisors (1913095172).

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

1201200012 is a wasteful number, since it uses less digits than its factorization.

1201200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201200012 is about 34658.3325046085. The cubic root of 1201200012 is about 1063.0126742379.

Adding to 1201200012 its reverse (2100021021), we get a palindrome (3301221033).

The spelling of 1201200012 in words is "one billion, two hundred one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 673 774 1153 1346 1548 2019 2306 2692 3459 4038 4612 6057 6918 8076 10377 12114 13836 20754 24228 28939 41508 49579 57878 86817 99158 115756 148737 173634 198316 260451 297474 347268 446211 520902 594948 775969 892422 1041804 1551938 1784844 2327907 3103876 4655814 6983721 9311628 13967442 27934884 33366667 66733334 100100001 133466668 200200002 300300003 400400004 600600006 1201200012