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12101111200 = 255267225767
BaseRepresentation
bin10110100010100100…
…00100110110100000
31011020100101010211201
423101102010312200
5144240341024300
65320440450544
7605606514403
oct132122046640
934210333751
1012101111200
11514a841a52
122418779a54
1311ab0a7039
1482b21bd3a
154ac59466a
hex2d1484da0

12101111200 has 72 divisors (see below), whose sum is σ = 29982893472. Its totient is φ = 4768177920.

The previous prime is 12101111171. The next prime is 12101111203. The reversal of 12101111200 is 211110121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12101111203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59284 + ... + 166483.

It is an arithmetic number, because the mean of its divisors is an integer number (416429076).

Almost surely, 212101111200 is an apocalyptic number.

12101111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101111200 is an abundant number, since it is smaller than the sum of its proper divisors (17881782272).

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

12101111200 is a wasteful number, since it uses less digits than its factorization.

12101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225854 (or 225841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101111200 its reverse (211110121), we get a palindrome (12312221321).

The spelling of 12101111200 in words is "twelve billion, one hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 134 160 200 268 335 400 536 670 800 1072 1340 1675 2144 2680 3350 5360 6700 10720 13400 26800 53600 225767 451534 903068 1128835 1806136 2257670 3612272 4515340 5644175 7224544 9030680 11288350 15126389 18061360 22576700 30252778 36122720 45153400 60505556 75631945 90306800 121011112 151263890 180613600 242022224 302527780 378159725 484044448 605055560 756319450 1210111120 1512638900 2420222240 3025277800 6050555600 12101111200