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1222012133120 = 2851283744113
BaseRepresentation
bin10001110010000101100…
…110010101111100000000
311022211020010102022222002
4101302011212111330000
5130010140101224440
62333215025003132
7154200412514162
oct21620546257400
94284203368862
101222012133120
11431285a9a549
12178a014834a8
138b309ac744c
1443207b46932
1521bc2414115
hex11c85995f00

1222012133120 has 72 divisors (see below), whose sum is σ = 2929386324816. Its totient is φ = 488423211008.

The previous prime is 1222012133117. The next prime is 1222012133137. The reversal of 1222012133120 is 213312102221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1222012133092 and 1222012133101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1270184 + ... + 2014296.

It is an arithmetic number, because the mean of its divisors is an integer number (40685921178).

Almost surely, 21222012133120 is an apocalyptic number.

1222012133120 is a gapful number since it is divisible by the number (10) 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 1222012133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464693162408).

1222012133120 is an abundant number, since it is smaller than the sum of its proper divisors (1707374191696).

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

1222012133120 is an equidigital number, since it uses as much as digits as its factorization.

1222012133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745417 (or 745403 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1222012133120 its reverse (213312102221), we get a palindrome (1435324235341).

The spelling of 1222012133120 in words is "one trillion, two hundred twenty-two billion, twelve million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1283 2566 5132 6415 10264 12830 20528 25660 41056 51320 82112 102640 164224 205280 328448 410560 744113 821120 1488226 1642240 2976452 3720565 5952904 7441130 11905808 14882260 23811616 29764520 47623232 59529040 95246464 119058080 190492928 238116160 476232320 952464640 954696979 1909393958 3818787916 4773484895 7637575832 9546969790 15275151664 19093939580 30550303328 38187879160 61100606656 76375758320 122201213312 152751516640 244402426624 305503033280 611006066560 1222012133120