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1220202221200 = 245212517243709
BaseRepresentation
bin10001110000011001101…
…110000100111010010000
311022122112222202021120021
4101300121232010322100
5124442433232034300
62332315252153224
7154104514515064
oct21603156047220
94278488667507
101220202221200
11430537385976
12178597308814
138b0abb46951
14430b560daa4
1521b1859dd1a
hex11c19b84e90

1220202221200 has 60 divisors (see below), whose sum is σ = 2931782070580. Its totient is φ = 488039892480.

The previous prime is 1220202221159. The next prime is 1220202221257. The reversal of 1220202221200 is 21222020221.

It can be written as a sum of positive squares in 6 ways, for example, as 10809345024 + 1209392876176 = 103968^2 + 1099724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4884946 + ... + 5128654.

Almost surely, 21220202221200 is an apocalyptic number.

1220202221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220202221200 is an abundant number, since it is smaller than the sum of its proper divisors (1711579849380).

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

1220202221200 is a wasteful number, since it uses less digits than its factorization.

1220202221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256244 (or 256233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1220202221200 its reverse (21222020221), we get a palindrome (1241424241421).

The spelling of 1220202221200 in words is "one trillion, two hundred twenty billion, two hundred two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 12517 25034 50068 62585 100136 125170 200272 243709 250340 312925 487418 500680 625850 974836 1001360 1218545 1251700 1949672 2437090 2503400 3899344 4874180 5006800 6092725 9748360 12185450 19496720 24370900 48741800 97483600 3050505553 6101011106 12202022212 15252527765 24404044424 30505055530 48808088848 61010111060 76262638825 122020222120 152525277650 244040444240 305050555300 610101110600 1220202221200