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12144120020 = 2253753419739
BaseRepresentation
bin10110100111101100…
…01001000011010100
31011100100022012211222
423103312021003110
5144332343320040
65325014345512
7606641213504
oct132366110324
934310265758
1012144120020
11517204812a
12242b05b298
1311b6c85246
14832c15a04
154b123cbb5
hex2d3d890d4

12144120020 has 96 divisors (see below), whose sum is σ = 26785987200. Its totient is φ = 4619856384.

The previous prime is 12144120013. The next prime is 12144120061. The reversal of 12144120020 is 2002144121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16432811 + ... + 16433549.

It is an arithmetic number, because the mean of its divisors is an integer number (279020700).

Almost surely, 212144120020 is an apocalyptic number.

12144120020 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 12144120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392993600).

12144120020 is an abundant number, since it is smaller than the sum of its proper divisors (14641867180).

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

12144120020 is a wasteful number, since it uses less digits than its factorization.

12144120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12144120020 its reverse (2002144121), we get a palindrome (14146264141).

The spelling of 12144120020 in words is "twelve billion, one hundred forty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 53 74 106 148 185 212 265 370 419 530 739 740 838 1060 1478 1676 1961 2095 2956 3695 3922 4190 7390 7844 8380 9805 14780 15503 19610 22207 27343 31006 39167 39220 44414 54686 62012 77515 78334 88828 109372 111035 136715 155030 156668 195835 222070 273430 309641 310060 391670 444140 546860 619282 783340 821659 1238564 1449179 1548205 1643318 2898358 3096410 3286636 4108295 5796716 6192820 7245895 8216590 11456717 14491790 16410973 16433180 22913434 28983580 32821946 45826868 57283585 65643892 82054865 114567170 164109730 229134340 328219460 607206001 1214412002 2428824004 3036030005 6072060010 12144120020