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13121121200 = 24521114332081
BaseRepresentation
bin11000011100001010…
…00110101110110000
31020212102201000111212
430032011012232300
5203333001334300
610005555055252
7643103455445
oct141605065660
936772630455
1013121121200
115623592620
1226622a1528
1313114cc055
148c68979cc
1551bdc9935
hex30e146bb0

13121121200 has 120 divisors (see below), whose sum is σ = 34429800816. Its totient is φ = 4765696000.

The previous prime is 13121121197. The next prime is 13121121217. The reversal of 13121121200 is 212112131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6304160 + ... + 6306240.

Almost surely, 213121121200 is an apocalyptic number.

13121121200 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 13121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214900408).

13121121200 is an abundant number, since it is smaller than the sum of its proper divisors (21308679616).

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

13121121200 is a wasteful number, since it uses less digits than its factorization.

13121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13121121200 its reverse (212112131), we get a palindrome (13333233331).

The spelling of 13121121200 in words is "thirteen billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1433 2081 2200 2866 4162 4400 5732 7165 8324 10405 11464 14330 15763 16648 20810 22891 22928 28660 31526 33296 35825 41620 45782 52025 57320 63052 71650 78815 83240 91564 104050 114455 114640 126104 143300 157630 166480 183128 208100 228910 252208 286600 315260 366256 394075 416200 457820 572275 573200 630520 788150 832400 915640 1144550 1261040 1576300 1831280 2289100 2982073 3152600 4578200 5964146 6305200 9156400 11928292 14910365 23856584 29820730 32802803 47713168 59641460 65605606 74551825 119282920 131211212 149103650 164014015 238565840 262422424 298207300 328028030 524844848 596414600 656056060 820070075 1192829200 1312112120 1640140150 2624224240 3280280300 6560560600 13121121200