Search a number
-
+
121222422200 = 2352113455381
BaseRepresentation
bin111000011100101101…
…0110101111010111000
3102120220012101002111202
41300321122311322320
53441230420002300
6131404441113332
711521001405345
oct1607132657270
9376805332452
10121222422200
1147456996000
121b5b1188848
13b57b52c609
145c1d8317cc
15324746ead5
hex1c396b5eb8

121222422200 has 96 divisors (see below), whose sum is σ = 310005850320. Its totient is φ = 44080784000.

The previous prime is 121222422199. The next prime is 121222422241. The reversal of 121222422200 is 2224222121.

121222422200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 38510 + ... + 493890.

Almost surely, 2121222422200 is an apocalyptic number.

121222422200 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 121222422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155002925160).

121222422200 is an abundant number, since it is smaller than the sum of its proper divisors (188783428120).

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

121222422200 is a wasteful number, since it uses less digits than its factorization.

121222422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455430 (or 455399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 121222422200 its reverse (2224222121), we get a palindrome (123446644321).

The spelling of 121222422200 in words is "one hundred twenty-one billion, two hundred twenty-two million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1331 2200 2420 2662 3025 4840 5324 6050 6655 10648 12100 13310 24200 26620 33275 53240 66550 133100 266200 455381 910762 1821524 2276905 3643048 4553810 5009191 9107620 10018382 11384525 18215240 20036764 22769050 25045955 40073528 45538100 50091910 55101101 91076200 100183820 110202202 125229775 200367640 220404404 250459550 275505505 440808808 500919100 551011010 606112111 1001838200 1102022020 1212224222 1377527525 2204044040 2424448444 2755055050 3030560555 4848896888 5510110100 6061121110 11020220200 12122242220 15152802775 24244484440 30305605550 60611211100 121222422200