Search a number
-
+
121101101122200 = 233521045719301441
BaseRepresentation
bin11011100010010000001100…
…000111010100001010011000
3120212210011002221210121100220
4123202100030013110022120
5111333110023341402300
61105321024451200040
734336160115250413
oct3342201407241230
9525704087717326
10121101101122200
113564a763536651
12116ba2558a6020
135275a28389634
1421c9478888b7a
15e001b6b0eda0
hex6e240c1d4298

121101101122200 has 96 divisors (see below), whose sum is σ = 375449333610960. Its totient is φ = 32290537062400.

The previous prime is 121101101122139. The next prime is 121101101122229. The reversal of 121101101122200 is 2221101101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121101101122200.

It is a congruent number.

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, 3376521 + ... + 15924920.

Almost surely, 2121101101122200 is an apocalyptic number.

121101101122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101101122200 is an abundant number, since it is smaller than the sum of its proper divisors (254348232488760).

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

121101101122200 is a wasteful number, since it uses less digits than its factorization.

121101101122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311917 (or 19311908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121101101122200 its reverse (2221101101121), we get a palindrome (123322202223321).

The spelling of 121101101122200 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 10457 20914 31371 41828 52285 62742 83656 104570 125484 156855 209140 250968 261425 313710 418280 522850 627420 784275 1045700 1254840 1568550 2091400 3137100 6274200 19301441 38602882 57904323 77205764 96507205 115808646 154411528 193014410 231617292 289521615 386028820 463234584 482536025 579043230 772057640 965072050 1158086460 1447608075 1930144100 2316172920 2895216150 3860288200 5790432300 11580864600 201835168537 403670337074 605505505611 807340674148 1009175842685 1211011011222 1614681348296 2018351685370 2422022022444 3027527528055 4036703370740 4844044044888 5045879213425 6055055056110 8073406741480 10091758426850 12110110112220 15137637640275 20183516853700 24220220224440 30275275280550 40367033707400 60550550561100 121101101122200