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121220203332 = 2231743110131361
BaseRepresentation
bin111000011100101001…
…0011000001101000100
3102120220001012100210110
41300321102120031010
53441224333001312
6131404321353020
711520643504344
oct1607122301504
9376801170713
10121220203332
114745570aa28
121b5b0498770
13b57ac33687
145c1d414d24
15324718243c
hex1c39498344

121220203332 has 96 divisors (see below), whose sum is σ = 300697173504. Its totient is φ = 37876326400.

The previous prime is 121220203289. The next prime is 121220203337. The reversal of 121220203332 is 233302022121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121220203299 and 121220203308.

It is not an unprimeable number, because it can be changed into a prime (121220203337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89066332 + ... + 89067692.

It is an arithmetic number, because the mean of its divisors is an integer number (3132262224).

Almost surely, 2121220203332 is an apocalyptic number.

121220203332 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 121220203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150348586752).

121220203332 is an abundant number, since it is smaller than the sum of its proper divisors (179476970172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121220203332 is a wasteful number, since it uses less digits than its factorization.

121220203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 121220203332 its reverse (233302022121), we get a palindrome (354522225453).

The spelling of 121220203332 in words is "one hundred twenty-one billion, two hundred twenty million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 431 862 1013 1293 1361 1724 2026 2586 2722 3039 4052 4083 5172 5444 6078 7327 8166 12156 14654 16332 17221 21981 23137 29308 34442 43962 46274 51663 68884 69411 87924 92548 103326 138822 206652 277644 436603 586591 873206 1173182 1309809 1378693 1746412 1759773 2346364 2619618 2757386 3519546 4136079 5239236 5514772 7039092 7422251 8272158 9972047 14844502 16544316 19944094 22266753 23437781 29689004 29916141 39888188 44533506 46875562 59832282 70313343 89067012 93751124 119664564 140626686 281253372 594216683 1188433366 1782650049 2376866732 3565300098 7130600196 10101683611 20203367222 30305050833 40406734444 60610101666 121220203332