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12220011212200 = 2352112504959141
BaseRepresentation
bin1011000111010011000101…
…1011010110110110101000
31121021012222120222200210021
42301310301123112312220
53100203040332242300
641553443505530224
72400603161322031
oct261646133266650
947235876880707
1012220011212200
113991528832a00
1214543a1043974
136a845a810c0c
14303647663a88
15162d0d0c7d1a
hexb1d316d6da8

12220011212200 has 72 divisors (see below), whose sum is σ = 31229198136990. Its totient is φ = 4443640432000.

The previous prime is 12220011212191. The next prime is 12220011212231. The reversal of 12220011212200 is 221211002221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7015325633316 + 5204685578884 = 2648646^2 + 2281378^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 252455371 + ... + 252503770.

Almost surely, 212220011212200 is an apocalyptic number.

12220011212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220011212200 is an abundant number, since it is smaller than the sum of its proper divisors (19009186924790).

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

12220011212200 is a wasteful number, since it uses less digits than its factorization.

12220011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504959179 (or 504959159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220011212200 its reverse (221211002221), we get a palindrome (12441222214421).

The spelling of 12220011212200 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 504959141 1009918282 2019836564 2524795705 4039673128 5049591410 5554550551 10099182820 11109101102 12623978525 20198365640 22218202204 25247957050 27772752755 44436404408 50495914100 55545505510 61100056061 100991828200 111091011020 122200112122 138863763775 222182022040 244400224244 277727527550 305500280305 488800448488 555455055100 611000560610 1110910110200 1222001121220 1527501401525 2444002242440 3055002803050 6110005606100 12220011212200