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121230212200 = 235212713934337
BaseRepresentation
bin111000011100111100…
…0100011110001101000
3102120220202000212101021
41300321320203301220
53441234413242300
6131405320102224
711521124541616
oct1607170436150
9376822025337
10121230212200
1147460326819
121b5b3904974
13b580029296
145c2089c6b6
153247eacd1a
hex1c39e23c68

121230212200 has 96 divisors (see below), whose sum is σ = 286131686400. Its totient is φ = 47762749440.

The previous prime is 121230212189. The next prime is 121230212203. The reversal of 121230212200 is 2212032121.

It is a happy number.

It is a super-4 number, since 4×1212302122004 (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (121230212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3513432 + ... + 3547768.

It is an arithmetic number, because the mean of its divisors is an integer number (2980538400).

Almost surely, 2121230212200 is an apocalyptic number.

121230212200 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 121230212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143065843200).

121230212200 is an abundant number, since it is smaller than the sum of its proper divisors (164901474200).

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

121230212200 is a wasteful number, since it uses less digits than its factorization.

121230212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34619 (or 34610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 121230212200 its reverse (2212032121), we get a palindrome (123442244321).

The spelling of 121230212200 in words is "one hundred twenty-one billion, two hundred thirty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 139 200 254 278 508 556 635 695 1016 1112 1270 1390 2540 2780 3175 3475 5080 5560 6350 6950 12700 13900 17653 25400 27800 34337 35306 68674 70612 88265 137348 141224 171685 176530 274696 343370 353060 441325 686740 706120 858425 882650 1373480 1716850 1765300 3433700 3530600 4360799 4772843 6867400 8721598 9545686 17443196 19091372 21803995 23864215 34886392 38182744 43607990 47728430 87215980 95456860 109019975 119321075 174431960 190913720 218039950 238642150 436079900 477284300 606151061 872159800 954568600 1212302122 2424604244 3030755305 4849208488 6061510610 12123021220 15153776525 24246042440 30307553050 60615106100 121230212200