Search a number
-
+
122110101012200 = 2352731780030627
BaseRepresentation
bin11011110000111011111001…
…001100011011111011101000
3121000100121111220002210222012
4123300323321030123323220
5112001122441324342300
61111412334520415052
734502110064642000
oct3360737114337350
9530317456083865
10122110101012200
11359a966a688064
1211841909917488
135319c19097372
1422222362b9000
15e1b56d530435
hex6f0ef931bee8

122110101012200 has 96 divisors (see below), whose sum is σ = 331085696808000. Its totient is φ = 41866320323520.

The previous prime is 122110101012187. The next prime is 122110101012209. The reversal of 122110101012200 is 2210101011221.

122110101012200 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 (14).

It is not an unprimeable number, because it can be changed into a prime (122110101012209) 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, 889946714 + ... + 890083913.

It is an arithmetic number, because the mean of its divisors is an integer number (3448809341750).

Almost surely, 2122110101012200 is an apocalyptic number.

122110101012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110101012200 is an abundant number, since it is smaller than the sum of its proper divisors (208975595795800).

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

122110101012200 is a wasteful number, since it uses less digits than its factorization.

122110101012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780030664 (or 1780030641 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122110101012200 its reverse (2210101011221), we get a palindrome (124320202023421).

The spelling of 122110101012200 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 34300 68600 1780030627 3560061254 7120122508 8900153135 12460214389 14240245016 17800306270 24920428778 35600612540 44500765675 49840857556 62301071945 71201225080 87221500723 89001531350 99681715112 124602143890 174443001446 178003062700 249204287780 311505359725 348886002892 356006125400 436107503615 498408575560 610550505061 623010719450 697772005784 872215007230 1221101010122 1246021438900 1744430014460 2180537518075 2442202020244 2492042877800 3052752525305 3488860028920 4361075036150 4884404040488 6105505050610 8722150072300 12211010101220 15263762626525 17444300144600 24422020202440 30527525253050 61055050506100 122110101012200