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1122021000000 = 263256124669
BaseRepresentation
bin10000010100111101101…
…010011100001101000000
310222021010120110110210100
4100110331222130031000
5121340344334000000
62215241020002400
7144030504065505
oct20247552341500
93867116413710
101122021000000
113a293467024a
12161556690400
1381a630a08a4
143c43dd534ac
151e2bdd7ba00
hex1053da9c340

1122021000000 has 294 divisors, whose sum is σ = 4020069050270. Its totient is φ = 299203200000.

The previous prime is 1122020999989. The next prime is 1122021000007. The reversal of 1122021000000 is 1202211.

It can be written as a sum of positive squares in 7 ways, for example, as 1120058155584 + 1962844416 = 1058328^2 + 44304^2 .

It is a super-2 number, since 2×11220210000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122021000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8937666 + ... + 9062334.

Almost surely, 21122021000000 is an apocalyptic number.

1122021000000 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 1122021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010034525135).

1122021000000 is an abundant number, since it is smaller than the sum of its proper divisors (2898048050270).

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

1122021000000 is an frugal number, since it uses more digits than its factorization.

1122021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124717 (or 124679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1122021000000 its reverse (1202211), we get a palindrome (1122022202211).

The spelling of 1122021000000 in words is "one trillion, one hundred twenty-two billion, twenty-one million", and thus it is an aban number.