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2002120012120 = 235193184979627
BaseRepresentation
bin11101001000100111101…
…001101111000101011000
321002101211012000121212111
4131020213221233011120
5230300320210341440
64131432232122104
7264435254211304
oct35104751570530
97071735017774
102002120012120
11702104608318
12284035b36334
13116a5083b007
146cc90268d04
153712e1994ea
hex1d227a6f158

2002120012120 has 64 divisors (see below), whose sum is σ = 4894826572800. Its totient is φ = 734223968640.

The previous prime is 2002120012099. The next prime is 2002120012127. The reversal of 2002120012120 is 212100212002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002120012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002120012127) 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, 42466254 + ... + 42513373.

It is an arithmetic number, because the mean of its divisors is an integer number (76481665200).

Almost surely, 22002120012120 is an apocalyptic number.

2002120012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002120012120 is an abundant number, since it is smaller than the sum of its proper divisors (2892706560680).

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

2002120012120 is a wasteful number, since it uses less digits than its factorization.

2002120012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84979688 (or 84979684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002120012120 its reverse (212100212002), we get a palindrome (2214220224122).

The spelling of 2002120012120 in words is "two trillion, two billion, one hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 84979627 169959254 339918508 424898135 679837016 849796270 1614612913 1699592540 2634368437 3229225826 3399185080 5268736874 6458451652 8073064565 10537473748 12916903304 13171842185 16146129130 21074947496 26343684370 32292258260 50053000303 52687368740 64584516520 100106000606 105374737480 200212001212 250265001515 400424002424 500530003030 1001060006060 2002120012120