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11212000000 = 28562803
BaseRepresentation
bin10100111000100100…
…11000101100000000
31001221101100121120021
422130102120230000
5140430233000000
65052320023224
7544562266435
oct123422305400
931841317507
1011212000000
114833977603
12220aa61b14
131098b23936
147850d7b8c
154594b911a
hex29c498b00

11212000000 has 126 divisors (see below), whose sum is σ = 27984876164. Its totient is φ = 4483200000.

The previous prime is 11211999973. The next prime is 11212000087. The reversal of 11212000000 is 21211.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3998599 + ... + 4001401.

Almost surely, 211212000000 is an apocalyptic number.

11212000000 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 11212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992438082).

11212000000 is an abundant number, since it is smaller than the sum of its proper divisors (16772876164).

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

11212000000 is an frugal number, since it uses more digits than its factorization.

11212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11212000000 its reverse (21211), we get a palindrome (11212021211).

The spelling of 11212000000 in words is "eleven billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 2803 3125 3200 4000 5000 5606 6250 6400 8000 10000 11212 12500 14015 15625 16000 20000 22424 25000 28030 31250 32000 40000 44848 50000 56060 62500 70075 80000 89696 100000 112120 125000 140150 160000 179392 200000 224240 250000 280300 350375 358784 400000 448480 500000 560600 700750 717568 800000 896960 1000000 1121200 1401500 1751875 1793920 2000000 2242400 2803000 3503750 3587840 4000000 4484800 5606000 7007500 8759375 8969600 11212000 14015000 17518750 17939200 22424000 28030000 35037500 43796875 44848000 56060000 70075000 87593750 89696000 112120000 140150000 175187500 224240000 280300000 350375000 448480000 560600000 700750000 1121200000 1401500000 2242400000 2803000000 5606000000 11212000000