| Base | Representation |
|---|---|
| bin | 111001000011011010… |
| … | …0101011010010101000 |
| 3 | 102201020200221201021210 |
| 4 | 1302012310223102220 |
| 5 | 4001410341240130 |
| 6 | 132141351033120 |
| 7 | 11565120441240 |
| oct | 1620664532250 |
| 9 | 381220851253 |
| 10 | 122521040040 |
| 11 | 47a62a29893 |
| 12 | 1b8b406b7a0 |
| 13 | b7275a2439 |
| 14 | 5d040b2b20 |
| 15 | 32c148a5b0 |
| hex | 1c86d2b4a8 |
122521040040 has 256 divisors, whose sum is σ = 427524779520. Its totient is φ = 27509207040.
The previous prime is 122521039987. The next prime is 122521040041. The reversal of 122521040040 is 40040125221.
It is a super-2 number, since 2×1225210400402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 122521039989 and 122521040016.
It is not an unprimeable number, because it can be changed into a prime (122521040041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63382914 + ... + 63384846.
It is an arithmetic number, because the mean of its divisors is an integer number (1670018670).
Almost surely, 2122521040040 is an apocalyptic number.
122521040040 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 122521040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213762389760).
122521040040 is an abundant number, since it is smaller than the sum of its proper divisors (305003739480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122521040040 is a wasteful number, since it uses less digits than its factorization.
122521040040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 21.
Adding to 122521040040 its reverse (40040125221), we get a palindrome (162561165261).
The spelling of 122521040040 in words is "one hundred twenty-two billion, five hundred twenty-one million, forty thousand, forty".
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