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2012221121202 = 23217163137329383
BaseRepresentation
bin11101010010000001101…
…110011010001010110010
321010100220011001010120200
4131102001232122022302
5230432012101334302
64140222430020030
7265243500215025
oct35220156321262
97110804033520
102012221121202
11706418401056
12285b94947616
131179a0469a36
146d56b9cb1bc
1537520d7a81c
hex1d481b9a2b2

2012221121202 has 96 divisors (see below), whose sum is σ = 4648133662848. Its totient is φ = 626933841408.

The previous prime is 2012221121201. The next prime is 2012221121203. The reversal of 2012221121202 is 2021211222102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2012221121201) and next prime (2012221121203).

It is a super-2 number, since 2×20122211212022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012221121201) 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 47 ways as a sum of consecutive naturals, for example, 68467803 + ... + 68497185.

It is an arithmetic number, because the mean of its divisors is an integer number (48418058988).

Almost surely, 22012221121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012221121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324066831424).

2012221121202 is an abundant number, since it is smaller than the sum of its proper divisors (2635912541646).

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

2012221121202 is a wasteful number, since it uses less digits than its factorization.

2012221121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30944 (or 30941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2012221121202 its reverse (2021211222102), we get a palindrome (4033432343304).

The spelling of 2012221121202 in words is "two trillion, twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 163 306 326 489 978 1373 1467 2746 2771 2934 4119 5542 8238 8313 12357 16626 23341 24714 24939 29383 46682 49878 58766 70023 88149 140046 176298 210069 223799 264447 420138 447598 499511 528894 671397 999022 1342794 1498533 2014191 2997066 3804583 4028382 4495599 4789429 7609166 8991198 9578858 11413749 14368287 22827498 28736574 34241247 40342859 43104861 68482494 80685718 81420293 86209722 121028577 162840586 242057154 244260879 363085731 488521758 685828603 726171462 732782637 1371657206 1465565274 2057485809 4114971618 6172457427 6575886017 12344914854 13151772034 19727658051 39455316102 59182974153 111790062289 118365948306 223580124578 335370186867 670740373734 1006110560601 2012221121202