| Base | Representation |
|---|---|
| bin | 11011011100111011001101… |
| … | …001100001100010100000000 |
| 3 | 120211111011001212112212212200 |
| 4 | 123130323031030030110000 |
| 5 | 111311110211120403000 |
| 6 | 1104440514143353200 |
| 7 | 34300546121351433 |
| oct | 3334731514142400 |
| 9 | 524434055485780 |
| 10 | 120734973216000 |
| 11 | 3551946190a700 |
| 12 | 1165b2b62b2800 |
| 13 | 524a34a3a0360 |
| 14 | 21b58650ab81a |
| 15 | de58d8c4c500 |
| hex | 6dcecd30c500 |
120734973216000 has 5184 divisors, whose sum is σ = 555587451252288. Its totient is φ = 24914165760000.
The previous prime is 120734973215971. The next prime is 120734973216047. The reversal of 120734973216000 is 612379437021.
120734973216000 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 3 + 4 + 9 + 7 + 32 + 1 + 600 + 0 = 666.
It can be written as a sum of positive squares in 32 ways, for example, as 117650987663616 + 3083985552384 = 10846704^2 + 1756128^2 .
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 469785887872 + ... + 469785888128.
It is an arithmetic number, because the mean of its divisors is an integer number (107173505257).
Almost surely, 2120734973216000 is an apocalyptic number.
120734973216000 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 120734973216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277793725626144).
120734973216000 is an abundant number, since it is smaller than the sum of its proper divisors (434852478036288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120734973216000 is a wasteful number, since it uses less digits than its factorization.
120734973216000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 407 (or 369 counting only the distinct ones).
The product of its (nonzero) digits is 381024, while the sum is 45.
The spelling of 120734973216000 in words is "one hundred twenty trillion, seven hundred thirty-four billion, nine hundred seventy-three million, two hundred sixteen thousand".
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