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12000199120 = 2457131648379
BaseRepresentation
bin10110010110100010…
…01000000111010000
31010222022111021111021
423023101020013100
5144034022332440
65302433525224
7603243003160
oct131321100720
933868437437
1012000199120
1150a8888238
1223aaa13814
131193204350
1481ba705a0
154a37ae84a
hex2cb4481d0

12000199120 has 80 divisors (see below), whose sum is σ = 34339052160. Its totient is φ = 3797862912.

The previous prime is 12000199111. The next prime is 12000199163. The reversal of 12000199120 is 2199100021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816910 + ... + 831469.

It is an arithmetic number, because the mean of its divisors is an integer number (429238152).

Almost surely, 212000199120 is an apocalyptic number.

12000199120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000199120 is an abundant number, since it is smaller than the sum of its proper divisors (22338853040).

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

12000199120 is a wasteful number, since it uses less digits than its factorization.

12000199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648412 (or 1648406 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

Adding to 12000199120 its reverse (2199100021), we get a palindrome (14199299141).

The spelling of 12000199120 in words is "twelve billion, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1648379 3296758 6593516 8241895 11538653 13187032 16483790 21428927 23077306 26374064 32967580 42857854 46154612 57693265 65935160 85715708 92309224 107144635 115386530 131870320 150002489 171431416 184618448 214289270 230773060 300004978 342862832 428578540 461546120 600009956 750012445 857157080 923092240 1200019912 1500024890 1714314160 2400039824 3000049780 6000099560 12000199120