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12200202121122 = 2321270515334779
BaseRepresentation
bin1011000110001001010010…
…1101101010111110100010
31121012022212001200121100100
42301202110231222332202
53044342003220333442
641540410120203230
72366302244656641
oct261422455527642
947168761617310
1012200202121122
113984093047654
121450593009516
136a6621859652
143026c8875358
1516254debc84c
hexb1894b6afa2

12200202121122 has 24 divisors (see below), whose sum is σ = 26433984273840. Its totient is φ = 4066701269400.

The previous prime is 12200202121067. The next prime is 12200202121157. The reversal of 12200202121122 is 22112120200221.

It is a happy number.

12200202121122 is a `hidden beast` number, since 1 + 220 + 0 + 202 + 121 + 122 = 666.

12200202121122 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200202121095 and 12200202121104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380472 + ... + 4954307.

It is an arithmetic number, because the mean of its divisors is an integer number (1101416011410).

Almost surely, 212200202121122 is an apocalyptic number.

12200202121122 is an abundant number, since it is smaller than the sum of its proper divisors (14233782152718).

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

12200202121122 is a wasteful number, since it uses less digits than its factorization.

12200202121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461838 (or 5461835 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200202121122 its reverse (22112120200221), we get a palindrome (34312322321343).

The spelling of 12200202121122 in words is "twelve trillion, two hundred billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 127051 254102 381153 762306 1143459 2286918 5334779 10669558 16004337 32008674 48013011 96026022 677789006729 1355578013458 2033367020187 4066734040374 6100101060561 12200202121122