Search a number
-
+
121221221010 = 23523419419291
BaseRepresentation
bin111000011100101011…
…0010000101010010010
3102120220010010001210020
41300321112100222102
53441230113033020
6131404355244310
711520655243341
oct1607126205222
9376803101706
10121221221010
114745624558a
121b5b08a9696
13b57b1cb956
145c1d5dbb58
1532472d3c40
hex1c39590a92

121221221010 has 64 divisors (see below), whose sum is σ = 304305361920. Its totient is φ = 30846326720.

The previous prime is 121221220961. The next prime is 121221221021. The reversal of 121221221010 is 10122122121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79465 + ... + 498755.

It is an arithmetic number, because the mean of its divisors is an integer number (4754771280).

Almost surely, 2121221221010 is an apocalyptic number.

121221221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152152680960).

121221221010 is an abundant number, since it is smaller than the sum of its proper divisors (183084140910).

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

121221221010 is a wasteful number, since it uses less digits than its factorization.

121221221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419743.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121221221010 its reverse (10122122121), we get a palindrome (131343343131).

The spelling of 121221221010 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 419 690 838 1257 2095 2514 4190 6285 9637 12570 19274 28911 48185 57822 96370 144555 289110 419291 838582 1257873 2096455 2515746 4192910 6289365 9643693 12578730 19287386 28931079 48218465 57862158 96436930 144655395 175682929 289310790 351365858 527048787 878414645 1054097574 1756829290 2635243935 4040707367 5270487870 8081414734 12122122101 20203536835 24244244202 40407073670 60610610505 121221221010