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1200120222112 = 25731929186037
BaseRepresentation
bin10001011101101100101…
…111010101000110100000
311020201201102221000201021
4101131230233111012200
5124130321234101422
62315154433215224
7152464045400560
oct21355457250640
94221642830637
101200120222112
11422a7163a809
12174711a01514
138922b48ba56
144212c4a0da0
1521340536dc7
hex1176cbd51a0

1200120222112 has 96 divisors (see below), whose sum is σ = 2790391403520. Its totient is φ = 497207255040.

The previous prime is 1200120222079. The next prime is 1200120222113. The reversal of 1200120222112 is 2112220210021.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1200120222113) 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, 6357958 + ... + 6543994.

It is an arithmetic number, because the mean of its divisors is an integer number (29066577120).

Almost surely, 21200120222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395195701760).

1200120222112 is an abundant number, since it is smaller than the sum of its proper divisors (1590271181408).

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

1200120222112 is a wasteful number, since it uses less digits than its factorization.

1200120222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187014 (or 187006 counting only the distinct ones).

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

Adding to 1200120222112 its reverse (2112220210021), we get a palindrome (3312340432133).

The spelling of 1200120222112 in words is "one trillion, two hundred billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 929 992 1736 1858 3472 3716 6503 6944 7432 13006 14864 26012 28799 29728 52024 57598 104048 115196 186037 201593 208096 230392 372074 403186 460784 744148 806372 921568 1302259 1488296 1612744 2604518 2976592 3225488 5209036 5767147 5953184 6450976 10418072 11534294 20836144 23068588 40370029 41672288 46137176 80740058 92274352 161480116 172828373 184548704 322960232 345656746 645920464 691313492 1209798611 1291840928 1382626984 2419597222 2765253968 4839194444 5357679563 5530507936 9678388888 10715359126 19356777776 21430718252 37503756941 38713555552 42861436504 75007513882 85722873008 150015027764 171445746016 300030055528 600060111056 1200120222112