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12000032240 = 245761351289
BaseRepresentation
bin10110010110100000…
…11111010111110000
31010222022011210120112
423023100133113300
5144034002012430
65302430200452
7603241406510
oct131320372760
933868153515
1012000032240
1150a8783919
1223aa953128
1311931763c1
1481ba29840
154a377a195
hex2cb41f5f0

12000032240 has 80 divisors (see below), whose sum is σ = 32408610240. Its totient is φ = 4046837760.

The previous prime is 12000032227. The next prime is 12000032249. The reversal of 12000032240 is 4223000021.

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

It is a super-2 number, since 2×120000322402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000032249) 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, 141485 + ... + 209804.

It is an arithmetic number, because the mean of its divisors is an integer number (405107628).

Almost surely, 212000032240 is an apocalyptic number.

12000032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000032240 is an abundant number, since it is smaller than the sum of its proper divisors (20408578000).

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

12000032240 is a wasteful number, since it uses less digits than its factorization.

12000032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351370 (or 351364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12000032240 its reverse (4223000021), we get a palindrome (16223032261).

The spelling of 12000032240 in words is "twelve billion, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 17080 34160 351289 702578 1405156 1756445 2459023 2810312 3512890 4918046 5620624 7025780 9836092 12295115 14051560 19672184 21428629 24590230 28103120 39344368 42857258 49180460 85714516 98360920 107143145 150000403 171429032 196721840 214286290 300000806 342858064 428572580 600001612 750002015 857145160 1200003224 1500004030 1714290320 2400006448 3000008060 6000016120 12000032240