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2002222312120 = 2353111711378903
BaseRepresentation
bin11101001000101101101…
…111111110101010111000
321002102002022112000002101
4131020231233332222320
5230301022402441440
64131450324513144
7264440635563112
oct35105557765270
97072068460071
102002222312120
1170215732a878
1228406424b7b4
13116a68aa8664
146cc9da983b2
153713815569a
hex1d22dbfeab8

2002222312120 has 64 divisors (see below), whose sum is σ = 4654297405440. Its totient is φ = 774391363200.

The previous prime is 2002222312081. The next prime is 2002222312127. The reversal of 2002222312120 is 212132222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002222312127) 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, 762589 + ... + 2141491.

It is an arithmetic number, because the mean of its divisors is an integer number (72723396960).

Almost surely, 22002222312120 is an apocalyptic number.

2002222312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002222312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327148702720).

2002222312120 is an abundant number, since it is smaller than the sum of its proper divisors (2652075093320).

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

2002222312120 is a wasteful number, since it uses less digits than its factorization.

2002222312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380116 (or 1380112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2002222312120 its reverse (212132222002), we get a palindrome (2214354534122).

The spelling of 2002222312120 in words is "two trillion, two billion, two hundred twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1171 1240 2342 4684 5855 9368 11710 23420 36301 46840 72602 145204 181505 290408 363010 726020 1378903 1452040 2757806 5515612 6894515 11031224 13789030 27578060 42745993 55156120 85491986 170983972 213729965 341967944 427459930 854919860 1614695413 1709839720 3229390826 6458781652 8073477065 12917563304 16146954130 32293908260 50055557803 64587816520 100111115606 200222231212 250277789015 400444462424 500555578030 1001111156060 2002222312120