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12232133000 = 2353107114319
BaseRepresentation
bin10110110010001011…
…11000100110001000
31011120110220201221222
423121011320212020
5200022411224000
65341441021212
7612060262223
oct133105704610
934513821858
1012232133000
1152077a162a
122454624808
1311cc28c929
148407a65ba
154b8d25a85
hex2d9178988

12232133000 has 64 divisors (see below), whose sum is σ = 28890950400. Its totient is φ = 4847083200.

The previous prime is 12232132963. The next prime is 12232133009. The reversal of 12232133000 is 33123221.

It is a self number, because there is not a number n which added to its sum of digits gives 12232133000.

It is not an unprimeable number, because it can be changed into a prime (12232133009) 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, 49841 + ... + 164159.

It is an arithmetic number, because the mean of its divisors is an integer number (451421100).

Almost surely, 212232133000 is an apocalyptic number.

12232133000 is a gapful number since it is divisible by the number (10) 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 12232133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445475200).

12232133000 is an abundant number, since it is smaller than the sum of its proper divisors (16658817400).

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

12232133000 is a wasteful number, since it uses less digits than its factorization.

12232133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114447 (or 114433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12232133000 its reverse (33123221), we get a palindrome (12265256221).

The spelling of 12232133000 in words is "twelve billion, two hundred thirty-two million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 21400 26750 53500 107000 114319 228638 457276 571595 914552 1143190 2286380 2857975 4572760 5715950 11431900 12232133 14289875 22863800 24464266 28579750 48928532 57159500 61160665 97857064 114319000 122321330 244642660 305803325 489285320 611606650 1223213300 1529016625 2446426600 3058033250 6116066500 12232133000