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1202430012 = 2237273109257
BaseRepresentation
bin100011110101011…
…1010000000111100
310002210120202212220
41013222322000330
54430310230022
6315152125340
741540325600
oct10752720074
93083522786
101202430012
11567816513
12296836850
13162165564
14b59a3500
157086a85c
hex47aba03c

1202430012 has 144 divisors (see below), whose sum is σ = 3351791520. Its totient is φ = 334430208.

The previous prime is 1202429993. The next prime is 1202430013. The reversal of 1202430012 is 2100342021.

It is a junction number, because it is equal to n+sod(n) for n = 1202429973 and 1202430000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202430013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4678588 + ... + 4678844.

It is an arithmetic number, because the mean of its divisors is an integer number (23276330).

Almost surely, 21202430012 is an apocalyptic number.

1202430012 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 1202430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675895760).

1202430012 is an abundant number, since it is smaller than the sum of its proper divisors (2149361508).

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

1202430012 is a wasteful number, since it uses less digits than its factorization.

1202430012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1202430012 is about 34676.0726149891. The cubic root of 1202430012 is about 1063.3753836244.

Adding to 1202430012 its reverse (2100342021), we get a palindrome (3302772033).

The spelling of 1202430012 in words is "one billion, two hundred two million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 109 146 147 196 218 219 257 292 294 327 436 438 511 514 588 654 763 771 876 1022 1028 1308 1526 1533 1542 1799 2044 2289 3052 3066 3084 3577 3598 4578 5341 5397 6132 7154 7196 7957 9156 10682 10731 10794 12593 14308 15914 16023 18761 21364 21462 21588 23871 25186 28013 31828 32046 37522 37779 42924 47742 50372 55699 56026 56283 64092 75044 75558 84039 95484 111398 112052 112566 131327 151116 167097 168078 196091 222796 225132 262654 334194 336156 389893 392182 393981 525308 588273 668388 779786 784364 787962 919289 1169679 1176546 1372637 1559572 1575924 1838578 2044949 2339358 2353092 2745274 2757867 3677156 4089898 4117911 4678716 5490548 5515734 6134847 8179796 8235822 11031468 12269694 14314643 16471644 24539388 28629286 42943929 57258572 85887858 100202501 171775716 200405002 300607503 400810004 601215006 1202430012