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12133004240 = 2457167129737
BaseRepresentation
bin10110100110010111…
…01111001111010000
31011022120101110212102
423103023233033100
5144322022113430
65323540215532
7606444556130
oct132313571720
934276343772
1012133004240
115166845735
12242739a5a8
1311b4892866
14831560ac0
154b0294345
hex2d32ef3d0

12133004240 has 80 divisors (see below), whose sum is σ = 32432424192. Its totient is φ = 4134945792.

The previous prime is 12133004209. The next prime is 12133004327. The reversal of 12133004240 is 4240033121.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28652 + ... + 158388.

Almost surely, 212133004240 is an apocalyptic number.

12133004240 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 12133004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216212096).

12133004240 is an abundant number, since it is smaller than the sum of its proper divisors (20299419952).

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

12133004240 is a wasteful number, since it uses less digits than its factorization.

12133004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129924 (or 129918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12133004240 its reverse (4240033121), we get a palindrome (16373037361).

The spelling of 12133004240 in words is "twelve billion, one hundred thirty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2672 3340 4676 5845 6680 9352 11690 13360 18704 23380 46760 93520 129737 259474 518948 648685 908159 1037896 1297370 1816318 2075792 2594740 3632636 4540795 5189480 7265272 9081590 10378960 14530544 18163180 21666079 36326360 43332158 72652720 86664316 108330395 151662553 173328632 216660790 303325106 346657264 433321580 606650212 758312765 866643160 1213300424 1516625530 1733286320 2426600848 3033251060 6066502120 12133004240