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1200220002112 = 26711301203023
BaseRepresentation
bin10001011101110010101…
…011111101011101000000
311020201222101200101010211
4101131302223331131000
5124131022310031422
62315212400003504
7152466366455425
oct21356253753500
94221871611124
101200220002112
114230129a0a1a
1217473b300594
1389246056381
144213b835d4c
1521349196577
hex11772afd740

1200220002112 has 56 divisors (see below), whose sum is σ = 2417099795712. Its totient is φ = 591200064000.

The previous prime is 1200220002097. The next prime is 1200220002131. The reversal of 1200220002112 is 2112000220021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1200220002092 and 1200220002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5810233 + ... + 6013255.

It is an arithmetic number, because the mean of its divisors is an integer number (43162496352).

Almost surely, 21200220002112 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 1200220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208549897856).

1200220002112 is an abundant number, since it is smaller than the sum of its proper divisors (1216879793600).

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

1200220002112 is a wasteful number, since it uses less digits than its factorization.

1200220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204407 (or 204397 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1200220002112 its reverse (2112000220021), we get a palindrome (3312220222133).

The spelling of 1200220002112 in words is "one trillion, two hundred billion, two hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 1301 2272 2602 4544 5204 10408 20816 41632 83264 92371 184742 203023 369484 406046 738968 812092 1477936 1624184 2955872 3248368 5911744 6496736 12993472 14414633 28829266 57658532 115317064 230634128 264132923 461268256 528265846 922536512 1056531692 2113063384 4226126768 8452253536 16904507072 18753437533 37506875066 75013750132 150027500264 300055000528 600110001056 1200220002112