| Base | Representation |
|---|---|
| bin | 11011101111101001001100… |
| … | …010011010100011000100000 |
| 3 | 121000001010022021020102002220 |
| 4 | 123233221030103110120200 |
| 5 | 111443144111024341000 |
| 6 | 1111303451204311040 |
| 7 | 34462514406253065 |
| oct | 3357511423243040 |
| 9 | 530033267212086 |
| 10 | 122021301012000 |
| 11 | 35974a41372645 |
| 12 | 118286669a2480 |
| 13 | 5311736a69450 |
| 14 | 221bc1090ac6c |
| 15 | e190c26de1a0 |
| hex | 6efa4c4d4620 |
122021301012000 has 384 divisors, whose sum is σ = 430522977201408. Its totient is φ = 30033792000000.
The previous prime is 122021301011999. The next prime is 122021301012001. The reversal of 122021301012000 is 210103120221.
It is an interprime number because it is at equal distance from previous prime (122021301011999) and next prime (122021301012001).
It is a super-2 number, since 2×1220213010120002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (122021301012001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365993875 + ... + 3366030125.
It is an arithmetic number, because the mean of its divisors is an integer number (1121153586462).
Almost surely, 2122021301012000 is an apocalyptic number.
122021301012000 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 122021301012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215261488600704).
122021301012000 is an abundant number, since it is smaller than the sum of its proper divisors (308501676189408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122021301012000 is a wasteful number, since it uses less digits than its factorization.
122021301012000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57869 (or 57851 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 122021301012000 its reverse (210103120221), we get a palindrome (122231404132221).
The spelling of 122021301012000 in words is "one hundred twenty-two trillion, twenty-one billion, three hundred one million, twelve thousand".
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