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1222121210000 = 24541011210021
BaseRepresentation
bin10001110010001100000…
…110011100000010010000
311022211111201200000022112
4101302030012130002100
5130010401012210000
62333233522524452
7154203205612445
oct21621406340220
94284451600275
101222121210000
11431331620629
12178a31b06728
138b326598592
144321841b9cc
1521bcbcad235
hex11c8c19c090

1222121210000 has 100 divisors (see below), whose sum is σ = 2988175949484. Its totient is φ = 484008000000.

The previous prime is 1222121209973. The next prime is 1222121210003. The reversal of 1222121210000 is 121212221.

It can be written as a sum of positive squares in 10 ways, for example, as 326539102096 + 895582107904 = 571436^2 + 946352^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1222121210003) 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, 404990 + ... + 1615010.

Almost surely, 21222121210000 is an apocalyptic number.

1222121210000 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 1222121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494087974742).

1222121210000 is an abundant number, since it is smaller than the sum of its proper divisors (1766054739484).

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

1222121210000 is a wasteful number, since it uses less digits than its factorization.

1222121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210150 (or 1210129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222121210000 its reverse (121212221), we get a palindrome (1222242422221).

The spelling of 1222121210000 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 202000 252500 505000 1010000 1210021 2420042 4840084 6050105 9680168 12100210 19360336 24200420 30250525 48400840 60501050 96801680 121002100 122212121 151252625 242004200 244424242 302505250 484008400 488848484 605010500 611060605 756263125 977696968 1210021000 1222121210 1512526250 1955393936 2420042000 2444242420 3025052500 3055303025 4888484840 6050105000 6110606050 9776969680 12100210000 12221212100 15276515125 24442424200 30553030250 48884848400 61106060500 76382575625 122212121000 152765151250 244424242000 305530302500 611060605000 1222121210000