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12212133232 = 24131792411361
BaseRepresentation
bin10110101111110011…
…00101110101110000
31011112002021122102211
423113321211311300
5200002301230412
65335444221504
7611425263655
oct132771456560
934462248384
1012212133232
1151a74814a2
12244999a894
1311c80a9650
1483bc7bc2c
154b71c4ca7
hex2d7e65d70

12212133232 has 80 divisors (see below), whose sum is σ = 25748664480. Its totient is φ = 5577523200.

The previous prime is 12212133229. The next prime is 12212133239. The reversal of 12212133232 is 23233121221.

It is a super-3 number, since 3×122121332323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212133239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8972232 + ... + 8973592.

It is an arithmetic number, because the mean of its divisors is an integer number (321858306).

Almost surely, 212212133232 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 12212133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874332240).

12212133232 is an abundant number, since it is smaller than the sum of its proper divisors (13536531248).

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

12212133232 is a wasteful number, since it uses less digits than its factorization.

12212133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1796 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 12212133232 its reverse (23233121221), we get a palindrome (35445254453).

The spelling of 12212133232 in words is "twelve billion, two hundred twelve million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 241 358 482 716 964 1361 1432 1928 2327 2722 2864 3133 3856 4654 5444 6266 9308 10888 12532 17693 18616 21776 25064 35386 37232 43139 50128 70772 86278 141544 172556 243619 283088 328001 345112 487238 560807 656002 690224 974476 1121614 1312004 1948952 2243228 2624008 3167047 3897904 4264013 4486456 5248016 6334094 8528026 8972912 12668188 17056052 25336376 34112104 50672752 58712179 68224208 117424358 234848716 469697432 763258327 939394864 1526516654 3053033308 6106066616 12212133232