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122011112120 = 2351928449523
BaseRepresentation
bin111000110100001101…
…1011101001010111000
3102122221011102200200112
41301220123131022320
53444334321041440
6132015013323452
711546356225022
oct1615033351270
9378834380615
10122011112120
1147821101457
121b791336588
13b675a52541
145c96495012
153291810965
hex1c686dd2b8

122011112120 has 48 divisors (see below), whose sum is σ = 289734177960. Its totient is φ = 46235784384.

The previous prime is 122011112107. The next prime is 122011112129. The reversal of 122011112120 is 21211110221.

It is a super-2 number, since 2×1220111121202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122011112095 and 122011112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4210322 + ... + 4239201.

Almost surely, 2122011112120 is an apocalyptic number.

122011112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011112120 is an abundant number, since it is smaller than the sum of its proper divisors (167723065840).

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

122011112120 is a wasteful number, since it uses less digits than its factorization.

122011112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449572 (or 8449549 counting only the distinct ones).

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

Adding to 122011112120 its reverse (21211110221), we get a palindrome (143222222341).

The spelling of 122011112120 in words is "one hundred twenty-two billion, eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 8449523 16899046 33798092 42247615 67596184 84495230 160540937 168990460 321081874 337980920 642163748 802704685 1284327496 1605409370 3050277803 3210818740 6100555606 6421637480 12201111212 15251389015 24402222424 30502778030 61005556060 122011112120