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12102042408 = 2334710998429
BaseRepresentation
bin10110100010101011…
…01000001100101000
31011020102010110012220
423101111220030220
5144241110324113
65320512434040
7605620443321
oct132125501450
934212113186
1012102042408
115150318645
122418b48920
1311ab341b51
1482b3c1448
154ac6ca523
hex2d1568328

12102042408 has 64 divisors (see below), whose sum is σ = 31182624000. Its totient is φ = 3911922432.

The previous prime is 12102042401. The next prime is 12102042409. The reversal of 12102042408 is 80424020121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12102042401) 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, 73738 + ... + 172166.

It is an arithmetic number, because the mean of its divisors is an integer number (487228500).

Almost surely, 212102042408 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 12102042408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591312000).

12102042408 is an abundant number, since it is smaller than the sum of its proper divisors (19080581592).

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

12102042408 is a wasteful number, since it uses less digits than its factorization.

12102042408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98594 (or 98590 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12102042408 its reverse (80424020121), we get a palindrome (92526062529).

The spelling of 12102042408 in words is "twelve billion, one hundred two million, forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 109 141 188 218 282 327 376 436 564 654 872 1128 1308 2616 5123 10246 15369 20492 30738 40984 61476 98429 122952 196858 295287 393716 590574 787432 1181148 2362296 4626163 9252326 10728761 13878489 18504652 21457522 27756978 32186283 37009304 42915044 55513956 64372566 85830088 111027912 128745132 257490264 504251767 1008503534 1512755301 2017007068 3025510602 4034014136 6051021204 12102042408