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122112111022110 = 2325111913829469439
BaseRepresentation
bin11011110000111101110001…
…000000000001000000011110
3121000100210200222021220012200
4123300331301000001000132
5112001141100410201420
61111413310202112330
734502210642514126
oct3360756100010036
9530323628256180
10122112111022110
11359aa501241280
121184218aaab6a6
13531a179637941
14222238721bc86
15e1b639c1db90
hex6f0f7100101e

122112111022110 has 192 divisors, whose sum is σ = 364610668032000. Its totient is φ = 28042799028480.

The previous prime is 122112111022039. The next prime is 122112111022133. The reversal of 122112111022110 is 11220111211221.

It is a happy number.

122112111022110 is a `hidden beast` number, since 1 + 2 + 211 + 211 + 10 + 221 + 10 = 666.

It is a super-2 number, since 2×1221121110221102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 259888771 + ... + 260358209.

It is an arithmetic number, because the mean of its divisors is an integer number (1899013896000).

Almost surely, 2122112111022110 is an apocalyptic number.

122112111022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112111022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182305334016000).

122112111022110 is an abundant number, since it is smaller than the sum of its proper divisors (242498557009890).

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

122112111022110 is a wasteful number, since it uses less digits than its factorization.

122112111022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483311 (or 483308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122112111022110 its reverse (11220111211221), we get a palindrome (133332222233331).

The spelling of 122112111022110 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, twenty-two thousand, one hundred ten".