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12133202000 = 245334717483
BaseRepresentation
bin10110100110011000…
…11111100001010000
31011022120202112010212
423103030133201100
5144322044431000
65323544343252
7606446341523
oct132314374120
934276675125
1012133202000
115166970277
122427474b28
1311b493188a
148315b2bba
154b02d2c35
hex2d331f850

12133202000 has 80 divisors (see below), whose sum is σ = 29424313152. Its totient is φ = 4839017600.

The previous prime is 12133201987. The next prime is 12133202009. The reversal of 12133202000 is 20233121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133202009) 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, 685259 + ... + 702741.

Almost surely, 212133202000 is an apocalyptic number.

12133202000 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 12133202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712156576).

12133202000 is an abundant number, since it is smaller than the sum of its proper divisors (17291111152).

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

12133202000 is a wasteful number, since it uses less digits than its factorization.

12133202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17853 (or 17837 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12133202000 its reverse (20233121), we get a palindrome (12153435121).

The spelling of 12133202000 in words is "twelve billion, one hundred thirty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 347 400 500 694 1000 1388 1735 2000 2776 3470 5552 6940 8675 13880 17350 17483 27760 34700 34966 43375 69400 69932 86750 87415 138800 139864 173500 174830 279728 347000 349660 437075 694000 699320 874150 1398640 1748300 2185375 3496600 4370750 6066601 6993200 8741500 12133202 17483000 24266404 30333005 34966000 48532808 60666010 97065616 121332020 151665025 242664040 303330050 485328080 606660100 758325125 1213320200 1516650250 2426640400 3033300500 6066601000 12133202000