Search a number
-
+
121212101000 = 2353174769383
BaseRepresentation
bin111000011100011001…
…1011110000110001000
3102120212110221201111002
41300320303132012020
53441220244213000
6131403431554132
711520514600364
oct1607063360610
9376773851432
10121212101000
1147451086591
121b5a982b948
13b5793577b3
145c1c3062a4
1532465d18d5
hex1c38cde188

121212101000 has 64 divisors (see below), whose sum is σ = 283802762880. Its totient is φ = 48456388800.

The previous prime is 121212100949. The next prime is 121212101011. The reversal of 121212101000 is 101212121.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1712309 + ... + 1781691.

It is an arithmetic number, because the mean of its divisors is an integer number (4434418170).

Almost surely, 2121212101000 is an apocalyptic number.

121212101000 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 121212101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141901381440).

121212101000 is an abundant number, since it is smaller than the sum of its proper divisors (162590661880).

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

121212101000 is a wasteful number, since it uses less digits than its factorization.

121212101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71151 (or 71137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121212101000 its reverse (101212121), we get a palindrome (121313313121).

The spelling of 121212101000 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1747 3494 6988 8735 13976 17470 34940 43675 69383 69880 87350 138766 174700 218375 277532 346915 349400 436750 555064 693830 873500 1387660 1734575 1747000 2775320 3469150 6938300 8672875 13876600 17345750 34691500 69383000 121212101 242424202 484848404 606060505 969696808 1212121010 2424242020 3030302525 4848484040 6060605050 12121210100 15151512625 24242420200 30303025250 60606050500 121212101000