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13201122120 = 2335433676971
BaseRepresentation
bin11000100101101100…
…10010001101001000
31021002000020111010220
430102312102031020
5204013441401440
610021533510040
7645064454334
oct142266221510
937060214126
1013201122120
11566476448a
122685042320
131324c5c984
148d33607c4
15523e2d8d0
hex312d92348

13201122120 has 128 divisors (see below), whose sum is σ = 40640624640. Its totient is φ = 3428570880.

The previous prime is 13201122107. The next prime is 13201122139. The reversal of 13201122120 is 2122110231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13201122120.

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, 1890235 + ... + 1897205.

It is an arithmetic number, because the mean of its divisors is an integer number (317504880).

Almost surely, 213201122120 is an apocalyptic number.

13201122120 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 13201122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320312320).

13201122120 is an abundant number, since it is smaller than the sum of its proper divisors (27439502520).

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

13201122120 is a wasteful number, since it uses less digits than its factorization.

13201122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13201122120 its reverse (2122110231), we get a palindrome (15323232351).

The spelling of 13201122120 in words is "thirteen billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 367 430 516 645 734 860 1032 1101 1290 1468 1720 1835 2202 2580 2936 3670 4404 5160 5505 6971 7340 8808 11010 13942 14680 15781 20913 22020 27884 31562 34855 41826 44040 47343 55768 63124 69710 78905 83652 94686 104565 126248 139420 157810 167304 189372 209130 236715 278840 299753 315620 378744 418260 473430 599506 631240 836520 899259 946860 1199012 1498765 1798518 1893720 2398024 2558357 2997530 3597036 4496295 5116714 5995060 7194072 7675071 8992590 10233428 11990120 12791785 15350142 17985180 20466856 25583570 30700284 35970360 38375355 51167140 61400568 76750710 102334280 110009351 153501420 220018702 307002840 330028053 440037404 550046755 660056106 880074808 1100093510 1320112212 1650140265 2200187020 2640224424 3300280530 4400374040 6600561060 13201122120