Base | Representation |
---|---|
bin | 11011110001100100110010… |
… | …000101101110101001010000 |
3 | 121000111210211122122001212000 |
4 | 123301210302011232221100 |
5 | 112002332400314244422 |
6 | 1111444435244234000 |
7 | 34505223060423324 |
oct | 3361446205565120 |
9 | 530453748561760 |
10 | 122154005228112 |
11 | 35a1624a448320 |
12 | 1184a32123b900 |
13 | 53210c4c72750 |
14 | 22243dd1c5984 |
15 | e1c78cb6bcac |
hex | 6f193216ea50 |
122154005228112 has 1920 divisors, whose sum is σ = 435799807027200. Its totient is φ = 32289933312000.
The previous prime is 122154005228063. The next prime is 122154005228113. The reversal of 122154005228112 is 211822500451221.
122154005228112 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 5 + 40 + 0 + 522 + 81 + 12 = 666.
It is a super-2 number, since 2×1221540052281122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122154005228113) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 878805792939 + ... + 878805793077.
It is an arithmetic number, because the mean of its divisors is an integer number (226979066160).
Almost surely, 2122154005228112 is an apocalyptic number.
122154005228112 is a gapful number since it is divisible by the number (12) 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 122154005228112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217899903513600).
122154005228112 is an abundant number, since it is smaller than the sum of its proper divisors (313645801799088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122154005228112 is a wasteful number, since it uses less digits than its factorization.
122154005228112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 486 (or 443 counting only the distinct ones).
The product of its (nonzero) digits is 25600, while the sum is 36.
Adding to 122154005228112 its reverse (211822500451221), we get a palindrome (333976505679333).
The spelling of 122154005228112 in words is "one hundred twenty-two trillion, one hundred fifty-four billion, five million, two hundred twenty-eight thousand, one hundred twelve".
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