| Base | Representation |
|---|---|
| bin | 11011100011111111110110… |
| … | …110000110111101001101000 |
| 3 | 120220012121121001110100010210 |
| 4 | 123203333312300313221220 |
| 5 | 111342041103003013000 |
| 6 | 1105452054243141120 |
| 7 | 34350633302020626 |
| oct | 3343776660675150 |
| 9 | 526177531410123 |
| 10 | 121221002001000 |
| 11 | 356965a144a520 |
| 12 | 117195383747a0 |
| 13 | 5284125b7a1b5 |
| 14 | 21d11b098c516 |
| 15 | e03383036350 |
| hex | 6e3ff6c37a68 |
121221002001000 has 1024 divisors, whose sum is σ = 430049265085440. Its totient is φ = 28175247360000.
The previous prime is 121221002000981. The next prime is 121221002001019. The reversal of 121221002001000 is 100200122121.
It is an interprime number because it is at equal distance from previous prime (121221002000981) and next prime (121221002001019).
It is a super-2 number, since 2×1212210020010002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16750169382 + ... + 16750176618.
It is an arithmetic number, because the mean of its divisors is an integer number (419969985435).
Almost surely, 2121221002001000 is an apocalyptic number.
121221002001000 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 121221002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215024632542720).
121221002001000 is an abundant number, since it is smaller than the sum of its proper divisors (308828263084440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121221002001000 is a wasteful number, since it uses less digits than its factorization.
121221002001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7543 (or 7529 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 121221002001000 its reverse (100200122121), we get a palindrome (121321202123121).
The spelling of 121221002001000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two million, one thousand".
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