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121944000822 = 2372372302977
BaseRepresentation
bin111000110010001101…
…1011100100100110110
3102122202111011002021220
41301210123130210312
53444220131011242
6132004215051210
711544612622200
oct1614433344466
9378674132256
10121944000822
1147797233776
121b772970b06
13b664b85807
145c8b5c5770
15328a9a5bec
hex1c646dc936

121944000822 has 72 divisors (see below), whose sum is σ = 291582391464. Its totient is φ = 33899378688.

The previous prime is 121944000821. The next prime is 121944000847. The reversal of 121944000822 is 228000449121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121944000821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250998 + ... + 553974.

It is an arithmetic number, because the mean of its divisors is an integer number (4049755437).

Almost surely, 2121944000822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121944000822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145791195732).

121944000822 is an abundant number, since it is smaller than the sum of its proper divisors (169638390642).

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

121944000822 is a wasteful number, since it uses less digits than its factorization.

121944000822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303070 (or 303026 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 121944000822 its reverse (228000449121), we get a palindrome (349944449943).

The spelling of 121944000822 in words is "one hundred twenty-one billion, nine hundred forty-four million, eight hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1369 1554 1813 2738 3626 4107 5439 8214 9583 10878 19166 28749 57498 67081 134162 201243 302977 402486 605954 908931 1817862 2120839 4241678 6362517 11210149 12725034 14845873 22420298 29691746 33630447 44537619 67260894 78471043 89075238 156942086 235413129 414775513 470826258 549297301 829551026 1098594602 1244326539 1647891903 2488653078 2903428591 3295783806 5806857182 8710285773 17420571546 20324000137 40648000274 60972000411 121944000822