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334121311212 = 2231322373313103
BaseRepresentation
bin1001101110010110010…
…11101001101111101100
31011221102111012020021020
410313023023221233230
520433240023424322
6413254311134140
733065560166643
oct4671313515754
91157374166236
10334121311212
11119777851457
1254908674350
1325679cab0a0
1412258a7c35a
158a5802205c
hex4dcb2e9bec

334121311212 has 96 divisors (see below), whose sum is σ = 844566847488. Its totient is φ = 102198115584.

The previous prime is 334121311201. The next prime is 334121311241. The reversal of 334121311212 is 212113121433.

It is a super-2 number, since 2×3341213112122 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25493053 + ... + 25506155.

It is an arithmetic number, because the mean of its divisors is an integer number (8797571328).

Almost surely, 2334121311212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334121311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422283423744).

334121311212 is an abundant number, since it is smaller than the sum of its proper divisors (510445536276).

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

334121311212 is a wasteful number, since it uses less digits than its factorization.

334121311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14079 (or 14077 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 334121311212 its reverse (212113121433), we get a palindrome (546234432645).

The spelling of 334121311212 in words is "three hundred thirty-four billion, one hundred twenty-one million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 223 446 669 733 892 1338 1466 2199 2676 2899 2932 4398 5798 8697 8796 9529 11596 13103 17394 19058 26206 28587 34788 38116 39309 52412 57174 78618 114348 157236 163459 170339 326918 340678 490377 511017 653836 681356 980754 1022034 1961508 2044068 2124967 2921969 4249934 5843938 6374901 8499868 8765907 9604499 11687876 12749802 17531814 19208998 25499604 28813497 35063628 37985597 38417996 57626994 75971194 113956791 115253988 124858487 151942388 227913582 249716974 374575461 455827164 499433948 749150922 1498301844 2141803277 4283606554 6425409831 8567213108 12850819662 25701639324 27843442601 55686885202 83530327803 111373770404 167060655606 334121311212