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12202004412 = 22321373935281
BaseRepresentation
bin10110101110100101…
…11100111110111100
31011111101020001022100
423113102330332330
5144442203120122
65334443145100
7611243216613
oct132722747674
934441201270
1012202004412
1151a1793574
122446515190
1311c5c71270
1483a7a287a
154b6373aac
hex2d74bcfbc

12202004412 has 72 divisors (see below), whose sum is σ = 33262458320. Its totient is φ = 3749276160.

The previous prime is 12202004393. The next prime is 12202004429. The reversal of 12202004412 is 21440020221.

12202004412 is a `hidden beast` number, since 1 + 2 + 20 + 200 + 441 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 328212 + ... + 363492.

Almost surely, 212202004412 is an apocalyptic number.

12202004412 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 12202004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631229160).

12202004412 is an abundant number, since it is smaller than the sum of its proper divisors (21060453908).

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

12202004412 is a wasteful number, since it uses less digits than its factorization.

12202004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36043 (or 36038 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12202004412 its reverse (21440020221), we get a palindrome (33642024633).

The spelling of 12202004412 in words is "twelve billion, two hundred two million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 739 1478 2217 2956 4434 6651 8868 9607 13302 19214 26604 28821 35281 38428 57642 70562 86463 105843 115284 141124 172926 211686 317529 345852 423372 458653 635058 917306 1270116 1375959 1834612 2751918 4127877 5503836 8255754 16511508 26072659 52145318 78217977 104290636 156435954 234653931 312871908 338944567 469307862 677889134 938615724 1016833701 1355778268 2033667402 3050501103 4067334804 6101002206 12202004412