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12220120000 = 26541127773
BaseRepresentation
bin10110110000110000…
…00011101111000000
31011112122022102020001
423120120003233000
5200011322320000
65340331325344
7611553210004
oct133030035700
934478272201
1012220120000
115200a37030
1224505b0854
1311c9944a4a
1483cd5a704
154b7c5146a
hex2d8603bc0

12220120000 has 140 divisors (see below), whose sum is σ = 33057836856. Its totient is φ = 4443520000.

The previous prime is 12220119973. The next prime is 12220120007. The reversal of 12220120000 is 2102221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426114 + ... + 453886.

Almost surely, 212220120000 is an apocalyptic number.

12220120000 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 12220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528918428).

12220120000 is an abundant number, since it is smaller than the sum of its proper divisors (20837716856).

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

12220120000 is an equidigital number, since it uses as much as digits as its factorization.

12220120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27816 (or 27791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220120000 its reverse (2102221), we get a palindrome (12222222221).

The spelling of 12220120000 in words is "twelve billion, two hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 27773 40000 44000 55000 55546 88000 110000 111092 138865 220000 222184 277730 305503 440000 444368 555460 611006 694325 888736 1110920 1222012 1388650 1527515 1777472 2221840 2444024 2777300 3055030 3471625 4443680 4888048 5554600 6110060 6943250 7637575 8887360 9776096 11109200 12220120 13886500 15275150 17358125 19552192 22218400 24440240 27773000 30550300 34716250 38187875 44436800 48880480 55546000 61100600 69432500 76375750 97760960 111092000 122201200 138865000 152751500 190939375 222184000 244402400 277730000 305503000 381878750 488804800 555460000 611006000 763757500 1110920000 1222012000 1527515000 2444024000 3055030000 6110060000 12220120000