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13120121200 = 2452167197997
BaseRepresentation
bin11000011100000010…
…10010100101110000
31020212100211012202211
430032001102211300
5203332222334300
610005521421504
7643062122134
oct141601224560
936770735684
1013120121200
115622a6a27a
122661a9a894
13131123bb34
148c66b73c4
1551bc7d4ba
hex30e052970

13120121200 has 120 divisors (see below), whose sum is σ = 31902770592. Its totient is φ = 5184936960.

The previous prime is 13120121197. The next prime is 13120121233. The reversal of 13120121200 is 212102131.

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 23 ways as a sum of consecutive naturals, for example, 13159102 + ... + 13160098.

Almost surely, 213120121200 is an apocalyptic number.

13120121200 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 13120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951385296).

13120121200 is an abundant number, since it is smaller than the sum of its proper divisors (18782649392).

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

13120121200 is a wasteful number, since it uses less digits than its factorization.

13120121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13120121200 its reverse (212102131), we get a palindrome (13332223331).

The spelling of 13120121200 in words is "thirteen billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 197 200 334 394 400 668 788 835 985 997 1336 1576 1670 1970 1994 2672 3152 3340 3940 3988 4175 4925 4985 6680 7880 7976 8350 9850 9970 13360 15760 15952 16700 19700 19940 24925 32899 33400 39400 39880 49850 65798 66800 78800 79760 99700 131596 164495 166499 196409 199400 263192 328990 332998 392818 398800 526384 657980 665996 785636 822475 832495 982045 1315960 1331992 1571272 1644950 1664990 1964090 2631920 2663984 3142544 3289900 3329980 3928180 4162475 4910225 6579800 6659960 7856360 8324950 9820450 13159600 13319920 15712720 16649900 19640900 32800303 33299800 39281800 65600606 66599600 78563600 131201212 164001515 262402424 328003030 524804848 656006060 820007575 1312012120 1640015150 2624024240 3280030300 6560060600 13120121200