Search a number
-
+
122002100012 = 221373184717401
BaseRepresentation
bin111000110011111100…
…1000100111100101100
3102122220112110211101202
41301213321010330230
53444330014200022
6132014052225032
711546216511452
oct1614771047454
9378815424352
10122002100012
1147817006531
121b78a30b178
13b673c18530
145c951ca9d2
153290b30592
hex1c67e44f2c

122002100012 has 48 divisors (see below), whose sum is σ = 233216313792. Its totient is φ = 55504051200.

The previous prime is 122002100009. The next prime is 122002100119. The reversal of 122002100012 is 210001200221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122002099966 and 122002100002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7002512 + ... + 7019912.

It is an arithmetic number, because the mean of its divisors is an integer number (4858673204).

Almost surely, 2122002100012 is an apocalyptic number.

It is an amenable number.

122002100012 is a deficient number, since it is larger than the sum of its proper divisors (111214213780).

122002100012 is a wasteful number, since it uses less digits than its factorization.

122002100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19338 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122002100012 its reverse (210001200221), we get a palindrome (332003300233).

The spelling of 122002100012 in words is "one hundred twenty-two billion, two million, one hundred thousand, twelve".

Divisors: 1 2 4 13 26 52 73 146 292 949 1847 1898 3694 3796 7388 17401 24011 34802 48022 69604 96044 134831 226213 269662 452426 539324 904852 1270273 1752803 2540546 3505606 5081092 7011212 16513549 32139647 33027098 64279294 66054196 128558588 417815411 835630822 1671261644 2346194231 4692388462 9384776924 30500525003 61001050006 122002100012