| Base | Representation |
|---|---|
| bin | 11011110101111000101000… |
| … | …101111110000011010000000 |
| 3 | 121001120010101001122021212100 |
| 4 | 123311320220233300122000 |
| 5 | 112022211003002413030 |
| 6 | 1112232502412230400 |
| 7 | 34535510064661353 |
| oct | 3365705057603200 |
| 9 | 531503331567770 |
| 10 | 122450201216640 |
| 11 | 3601a925353490 |
| 12 | 1189780476b400 |
| 13 | 534300996109b |
| 14 | 223489b03029a |
| 15 | e253263bb360 |
| hex | 6f5e28bf0680 |
122450201216640 has 384 divisors, whose sum is σ = 462284938739520. Its totient is φ = 29619934248960.
The previous prime is 122450201216611. The next prime is 122450201216669. The reversal of 122450201216640 is 46612102054221.
122450201216640 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 5 + 0 + 2 + 0 + 1 + 2 + 1 + 6 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (122450201216611) and next prime (122450201216669).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 122450201216595 and 122450201216604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26841067 + ... + 31069973.
Almost surely, 2122450201216640 is an apocalyptic number.
122450201216640 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 122450201216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231142469369760).
122450201216640 is an abundant number, since it is smaller than the sum of its proper divisors (339834737522880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122450201216640 is a wasteful number, since it uses less digits than its factorization.
122450201216640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4229400 (or 4229385 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The spelling of 122450201216640 in words is "one hundred twenty-two trillion, four hundred fifty billion, two hundred one million, two hundred sixteen thousand, six hundred forty".
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