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12220011200 = 265223332779
BaseRepresentation
bin10110110000101111…
…01001001011000000
31011112122002212222102
423120113221023000
5200011310324300
65340325125532
7611552244545
oct133027511300
934478085872
1012220011200
115200972311
1224505598a8
1311c9907377
1483cd2cbcc
154b7c2e0d5
hex2d85e92c0

12220011200 has 84 divisors (see below), whose sum is σ = 30198837240. Its totient is φ = 4866877440.

The previous prime is 12220011151. The next prime is 12220011227. The reversal of 12220011200 is 211002221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356411 + ... + 389189.

Almost surely, 212220011200 is an apocalyptic number.

12220011200 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 12220011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099418620).

12220011200 is an abundant number, since it is smaller than the sum of its proper divisors (17978826040).

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

12220011200 is a wasteful number, since it uses less digits than its factorization.

12220011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33034 (or 33019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12220011200 its reverse (211002221), we get a palindrome (12431013421).

The spelling of 12220011200 in words is "twelve billion, two hundred twenty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 233 320 400 466 800 932 1165 1600 1864 2330 3728 4660 5825 7456 9320 11650 14912 18640 23300 32779 37280 46600 65558 74560 93200 131116 163895 186400 262232 327790 372800 524464 655580 819475 1048928 1311160 1638950 2097856 2622320 3277900 5244640 6555800 7637507 10489280 13111600 15275014 26223200 30550028 38187535 52446400 61100056 76375070 122200112 152750140 190937675 244400224 305500280 381875350 488800448 611000560 763750700 1222001120 1527501400 2444002240 3055002800 6110005600 12220011200