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122121020200112 = 24174310441263697
BaseRepresentation
bin11011110001000110000100…
…000001110101010010110000
3121000101122200212111000212022
4123301012010001311102300
5112001312322132400422
61111421342220451012
734502644503340043
oct3361060401652260
9530348625430768
10122121020200112
1135a0326323a5aa
1211843a566a9a68
13531ac69338abb
142222990550c5a
15e1b9abe5a342
hex6f11840754b0

122121020200112 has 40 divisors (see below), whose sum is σ = 256353906313296. Its totient is φ = 56132233629696.

The previous prime is 122121020200111. The next prime is 122121020200147. The reversal of 122121020200112 is 211002020121221.

122121020200112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (122121020200111) 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 7 ways as a sum of consecutive naturals, for example, 5220620153 + ... + 5220643544.

Almost surely, 2122121020200112 is an apocalyptic number.

It is an amenable number.

122121020200112 is an abundant number, since it is smaller than the sum of its proper divisors (134232886113184).

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

122121020200112 is a wasteful number, since it uses less digits than its factorization.

122121020200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441263765 (or 10441263759 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122121020200112 its reverse (211002020121221), we get a palindrome (333123040321333).

The spelling of 122121020200112 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 5848 11696 10441263697 20882527394 41765054788 83530109576 167060219152 177501482849 355002965698 448974338971 710005931396 897948677942 1420011862792 1795897355884 2840023725584 3591794711768 7183589423536 7632563762507 15265127525014 30530255050028 61060510100056 122121020200112