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1000111200012 = 223467353130513
BaseRepresentation
bin11101000110110110100…
…01011101011100001100
310112121110110122222020000
432203123101131130030
5112341211431400022
62043240021524300
7132153454636221
oct16433321353414
93477413588200
101000111200012
11356165777131
121419b3273690
1373405331172
1436597111948
151b0363ce6ac
hexe8db45d70c

1000111200012 has 120 divisors (see below), whose sum is σ = 2661047857776. Its totient is φ = 327461916672.

The previous prime is 1000111200007. The next prime is 1000111200017. The reversal of 1000111200012 is 2100021110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000111200007) and next prime (1000111200017).

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 = 1000111199967 and 1000111200003.

It is not an unprimeable number, because it can be changed into a prime (1000111200017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7597668 + ... + 7728180.

Almost surely, 21000111200012 is an apocalyptic number.

1000111200012 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 1000111200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330523928888).

1000111200012 is an abundant number, since it is smaller than the sum of its proper divisors (1660936657764).

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

1000111200012 is a wasteful number, since it uses less digits than its factorization.

1000111200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130949 (or 130938 counting only the distinct ones).

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

Adding to 1000111200012 its reverse (2100021110001), we get a palindrome (3100132310013).

The spelling of 1000111200012 in words is "one trillion, one hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 353 402 603 706 804 1059 1206 1412 1809 2118 2412 3177 3618 4236 5427 6354 7236 9531 10854 12708 19062 21708 23651 28593 38124 47302 57186 70953 94604 114372 130513 141906 212859 261026 283812 391539 425718 522052 638577 783078 851436 1174617 1277154 1566156 1915731 2349234 2554308 3523851 3831462 4698468 7047702 7662924 8744371 10571553 14095404 17488742 21143106 26233113 34977484 42286212 46071089 52466226 78699339 92142178 104932452 138213267 157398678 184284356 236098017 276426534 314797356 414639801 472196034 552853068 708294051 829279602 944392068 1243919403 1416588102 1658559204 2487838806 2833176204 3086762963 3731758209 4975677612 6173525926 7463516418 9260288889 12347051852 14927032836 18520577778 27780866667 37041155556 55561733334 83342600001 111123466668 166685200002 250027800003 333370400004 500055600006 1000111200012