Base | Representation |
---|---|
bin | 111001010001000100… |
… | …0100000101101010000 |
3 | 102202102122002220001220 |
4 | 1302202020200231100 |
5 | 4003330140140100 |
6 | 132255035325040 |
7 | 11612353105554 |
oct | 1624210405520 |
9 | 382378086056 |
10 | 122979224400 |
11 | 4817862554a |
12 | 1ba015b0780 |
13 | b79b4a6446 |
14 | 5d48ca1864 |
15 | 32eb7e3aa0 |
hex | 1ca2220b50 |
122979224400 has 120 divisors (see below), whose sum is σ = 411071517120. Its totient is φ = 31368606720.
The previous prime is 122979224393. The next prime is 122979224429. The reversal of 122979224400 is 4422979221.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200285 + ... + 2255484.
It is an arithmetic number, because the mean of its divisors is an integer number (3425595976).
Almost surely, 2122979224400 is an apocalyptic number.
122979224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122979224400 is an abundant number, since it is smaller than the sum of its proper divisors (288092292720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122979224400 is a wasteful number, since it uses less digits than its factorization.
122979224400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4455813 (or 4455802 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 42.
The spelling of 122979224400 in words is "one hundred twenty-two billion, nine hundred seventy-nine million, two hundred twenty-four thousand, four hundred".
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