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122343100000 = 255511210111
BaseRepresentation
bin111000111110000110…
…1111000111001100000
3102200210022010102102221
41301330031320321200
54001024313200000
6132111553120424
711560530122512
oct1617415707140
9380708112387
10122343100000
1147981543900
121b864559114
13b6c9770084
145cc85d3bb2
1532b0a3c61a
hex1c7c378e60

122343100000 has 216 divisors, whose sum is σ = 330949317888. Its totient is φ = 44484000000.

The previous prime is 122343099979. The next prime is 122343100063. The reversal of 122343100000 is 1343221.

It is a happy number.

It is a super-2 number, since 2×1223431000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 35 ways as a sum of consecutive naturals, for example, 12094945 + ... + 12105055.

It is an arithmetic number, because the mean of its divisors is an integer number (1532172768).

Almost surely, 2122343100000 is an apocalyptic number.

122343100000 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 122343100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165474658944).

122343100000 is an abundant number, since it is smaller than the sum of its proper divisors (208606217888).

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

122343100000 is an equidigital number, since it uses as much as digits as its factorization.

122343100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122343100000 its reverse (1343221), we get a palindrome (122344443221).

The spelling of 122343100000 in words is "one hundred twenty-two billion, three hundred forty-three million, one hundred thousand".