| Base | Representation |
|---|---|
| bin | 111000110110111000… |
| … | …0101001000101000000 |
| 3 | 102200011101201201010200 |
| 4 | 1301231300221011000 |
| 5 | 4000030220131000 |
| 6 | 132031530325200 |
| 7 | 11551523365500 |
| oct | 1615560510500 |
| 9 | 380141651120 |
| 10 | 122100552000 |
| 11 | 4786763aa09 |
| 12 | 1b7b7289800 |
| 13 | b68b43954b |
| 14 | 5ca42d7a00 |
| 15 | 32995cb500 |
| hex | 1c6dc29140 |
122100552000 has 1008 divisors, whose sum is σ = 518463318672. Its totient is φ = 27340185600.
The previous prime is 122100551999. The next prime is 122100552001. The reversal of 122100552000 is 255001221.
122100552000 is a `hidden beast` number, since 12 + 2 + 100 + 552 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (122100551999) and next prime (122100552001).
It can be written as a sum of positive squares in 8 ways, for example, as 42630686784 + 79469865216 = 206472^2 + 281904^2 .
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122100552001) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186983674 + ... + 186984326.
Almost surely, 2122100552000 is an apocalyptic number.
122100552000 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 122100552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259231659336).
122100552000 is an abundant number, since it is smaller than the sum of its proper divisors (396362766672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122100552000 is a wasteful number, since it uses less digits than its factorization.
122100552000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 753 (or 723 counting only the distinct ones).
The product of its (nonzero) digits is 200, while the sum is 18.
Adding to 122100552000 its reverse (255001221), we get a palindrome (122355553221).
The spelling of 122100552000 in words is "one hundred twenty-two billion, one hundred million, five hundred fifty-two thousand".
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