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121133200120 = 235171108316073
BaseRepresentation
bin111000011010000011…
…0011111001011111000
3102120122222111010211021
41300310012133023320
53441040044400440
6131351532512224
711515536132562
oct1606406371370
9376588433737
10121133200120
1147410596149
121b58731b674
13b565bc079a
145c11a48332
15323e6e884a
hex1c3419f2f8

121133200120 has 64 divisors (see below), whose sum is σ = 288626029920. Its totient is φ = 45596135424.

The previous prime is 121133200109. The next prime is 121133200147. The reversal of 121133200120 is 21002331121.

It is a super-3 number, since 3×1211332001203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121133200094 and 121133200103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7528404 + ... + 7544476.

Almost surely, 2121133200120 is an apocalyptic number.

121133200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121133200120 is an abundant number, since it is smaller than the sum of its proper divisors (167492829800).

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

121133200120 is a wasteful number, since it uses less digits than its factorization.

121133200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184 (or 27180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121133200120 its reverse (21002331121), we get a palindrome (142135531241).

The spelling of 121133200120 in words is "one hundred twenty-one billion, one hundred thirty-three million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 11083 16073 22166 32146 44332 55415 64292 80365 88664 110830 128584 160730 188411 221660 273241 321460 376822 443320 546482 642920 753644 942055 1092964 1366205 1507288 1884110 2185928 2732410 3768220 5464820 7536440 10929640 178137059 356274118 712548236 890685295 1425096472 1781370590 3028330003 3562741180 6056660006 7125482360 12113320012 15141650015 24226640024 30283300030 60566600060 121133200120