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122001121020012 = 223131814320765017
BaseRepresentation
bin11011101111010110011001…
…011110110000100001101100
3120222222012012220000121021020
4123233112121132300201230
5111442331243440120022
61111250312525134140
734461201340203153
oct3357263136604154
9528865186017236
10122001121020012
1135967426286a13
12118247746ba350
13530c86bcc14a0
14221ac5877059a
15e187e0c6c35c
hex6ef5997b086c

122001121020012 has 48 divisors (see below), whose sum is σ = 308260659444192. Its totient is φ = 37331409738240.

The previous prime is 122001121020007. The next prime is 122001121020043. The reversal of 122001121020012 is 210020121100221.

It is a super-2 number, since 2×1220011210200122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122001121019973 and 122001121020000.

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, 2160354273 + ... + 2160410744.

It is an arithmetic number, because the mean of its divisors is an integer number (6422097071754).

Almost surely, 2122001121020012 is an apocalyptic number.

122001121020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001121020012 is an abundant number, since it is smaller than the sum of its proper divisors (186259538424180).

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

122001121020012 is a wasteful number, since it uses less digits than its factorization.

122001121020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320765218 (or 4320765216 counting only the distinct ones).

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

Adding to 122001121020012 its reverse (210020121100221), we get a palindrome (332021242120233).

The spelling of 122001121020012 in words is "one hundred twenty-two trillion, one billion, one hundred twenty-one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 2172 2353 4706 7059 9412 14118 28236 4320765017 8641530034 12962295051 17283060068 25924590102 51849180204 56169945221 112339890442 168509835663 224679780884 337019671326 674039342652 782058468077 1564116936154 2346175404231 3128233872308 4692350808462 9384701616924 10166760085001 20333520170002 30500280255003 40667040340004 61000560510006 122001121020012