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1222120000 = 265430553
BaseRepresentation
bin100100011011000…
…0001001001000000
310011011122010110201
41020312001021000
510000330320000
6321134134544
742166564033
oct11066011100
93134563421
101222120000
11577944932
122a1351454
1316626a83a
14b844b01a
157245996a
hex48d81240

1222120000 has 70 divisors (see below), whose sum is σ = 3030559598. Its totient is φ = 488832000.

The previous prime is 1222119979. The next prime is 1222120007. The reversal of 1222120000 is 212221.

It can be written as a sum of positive squares in 5 ways, for example, as 683508736 + 538611264 = 26144^2 + 23208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1222120007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24724 + ... + 55276.

Almost surely, 21222120000 is an apocalyptic number.

1222120000 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 1222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515279799).

1222120000 is an abundant number, since it is smaller than the sum of its proper divisors (1808439598).

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

1222120000 is an frugal number, since it uses more digits than its factorization.

1222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30585 (or 30560 counting only the distinct ones).

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

The square root of 1222120000 is about 34958.8329324650. The cubic root of 1222120000 is about 1069.1483017778.

Adding to 1222120000 its reverse (212221), we get a palindrome (1222332221).

The spelling of 1222120000 in words is "one billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 30553 40000 61106 122212 152765 244424 305530 488848 611060 763825 977696 1222120 1527650 1955392 2444240 3055300 3819125 4888480 6110600 7638250 9776960 12221200 15276500 19095625 24442400 30553000 38191250 48884800 61106000 76382500 122212000 152765000 244424000 305530000 611060000 1222120000