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121112203120 = 2451979679081
BaseRepresentation
bin111000011001011011…
…0011000111101110000
3102120121111222101100121
41300302312120331300
53441014210444440
6131345502500024
711515162512046
oct1606266307560
9376544871317
10121112203120
11473aa754857
121b580294614
13b56174b61c
145c0cd40396
15323c94c34a
hex1c32d98f70

121112203120 has 40 divisors (see below), whose sum is σ = 296406185040. Its totient is φ = 45895150080.

The previous prime is 121112203117. The next prime is 121112203123. The reversal of 121112203120 is 21302211121.

It is an interprime number because it is at equal distance from previous prime (121112203117) and next prime (121112203123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121112203094 and 121112203103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112203123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39838021 + ... + 39841060.

It is an arithmetic number, because the mean of its divisors is an integer number (7410154626).

Almost surely, 2121112203120 is an apocalyptic number.

121112203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112203120 is an abundant number, since it is smaller than the sum of its proper divisors (175293981920).

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

121112203120 is a wasteful number, since it uses less digits than its factorization.

121112203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79679113 (or 79679107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121112203120 its reverse (21302211121), we get a palindrome (142414414241).

The spelling of 121112203120 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 79679081 159358162 318716324 398395405 637432648 796790810 1274865296 1513902539 1593581620 3027805078 3187163240 6055610156 6374326480 7569512695 12111220312 15139025390 24222440624 30278050780 60556101560 121112203120