Search a number
-
+
121322100012 = 22337713848563
BaseRepresentation
bin111000011111101011…
…1000101010100101100
3102121011010221020202120
41300333113011110230
53441431424200022
6131422401352540
711523321556251
oct1607727052454
9377133836676
10121322100012
11474a8187463
121b61a638750
13b59608c579
145c2cb7b428
1532510add5c
hex1c3f5c552c

121322100012 has 48 divisors (see below), whose sum is σ = 294830790912. Its totient is φ = 38793504960.

The previous prime is 121322099963. The next prime is 121322100013. The reversal of 121322100012 is 210001223121.

121322100012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121322099964 and 121322100000.

It is not an unprimeable number, because it can be changed into a prime (121322100013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892758 + ... + 1955805.

It is an arithmetic number, because the mean of its divisors is an integer number (6142308144).

Almost surely, 2121322100012 is an apocalyptic number.

121322100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121322100012 is an abundant number, since it is smaller than the sum of its proper divisors (173508690900).

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

121322100012 is a wasteful number, since it uses less digits than its factorization.

121322100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848678 (or 3848676 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121322100012 its reverse (210001223121), we get a palindrome (331323323133).

The spelling of 121322100012 in words is "one hundred twenty-one billion, three hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 37 71 74 111 142 148 213 222 284 426 444 852 2627 5254 7881 10508 15762 31524 3848563 7697126 11545689 15394252 23091378 46182756 142396831 273247973 284793662 427190493 546495946 569587324 819743919 854380986 1092991892 1639487838 1708761972 3278975676 10110175001 20220350002 30330525003 40440700004 60661050006 121322100012