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12001220010 = 2345131139717
BaseRepresentation
bin10110010110101010…
…00001010110101010
31010222101102010220000
423023111001112222
5144034303020020
65302511443430
7603254454423
oct131325012652
933871363800
1012001220010
1150a941524a
1223ab226576
1311934a0c20
1481bc5864a
154a3912090
hex2cb5415aa

12001220010 has 80 divisors (see below), whose sum is σ = 34752281256. Its totient is φ = 2954143872.

The previous prime is 12001219987. The next prime is 12001220027. The reversal of 12001220010 is 1002210021.

It can be written as a sum of positive squares in 4 ways, for example, as 6048017361 + 5953202649 = 77769^2 + 77157^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001219974 and 12001220001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559329 + ... + 580388.

Almost surely, 212001220010 is an apocalyptic number.

12001220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001220010 is an abundant number, since it is smaller than the sum of its proper divisors (22751061246).

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

12001220010 is a wasteful number, since it uses less digits than its factorization.

12001220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139749 (or 1139740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001220010 its reverse (1002210021), we get a palindrome (13003430031).

The spelling of 12001220010 in words is "twelve billion, one million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 1139717 2279434 3419151 5698585 6838302 10257453 11397170 14816321 17095755 20514906 29632642 30772359 34191510 44448963 51287265 61544718 74081605 88897926 92317077 102574530 133346889 148163210 153861795 184634154 222244815 266693778 307723590 400040667 444489630 461585385 666734445 800081334 923170770 1200122001 1333468890 2000203335 2400244002 4000406670 6000610005 12001220010