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1121122000000 = 2756560561
BaseRepresentation
bin10000010100001000000…
…101000001110010000000
310222011210220211112122001
4100110020011001302000
5121332024213000000
62215011503153344
7143666306523322
oct20241005016200
93864726745561
101121122000000
113a2513161242
121613455a5854
138194ba67422
143c3967b7612
151e269e9b46a
hex10508141c80

1121122000000 has 112 divisors (see below), whose sum is σ = 2791825787610. Its totient is φ = 448448000000.

The previous prime is 1121121999989. The next prime is 1121122000001. The reversal of 1121122000000 is 2211211.

It can be written as a sum of positive squares in 7 ways, for example, as 691279170624 + 429842829376 = 831432^2 + 655624^2 .

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 (1121122000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1719720 + ... + 2280280.

Almost surely, 21121122000000 is an apocalyptic number.

1121122000000 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 1121122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395912893805).

1121122000000 is an abundant number, since it is smaller than the sum of its proper divisors (1670703787610).

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

1121122000000 is an frugal number, since it uses more digits than its factorization.

1121122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560605 (or 560568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1121122000000 its reverse (2211211), we get a palindrome (1121124211211).

It can be divided in two parts, 112112 and 2000000, that added together give a palindrome (2112112).

The spelling of 1121122000000 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 560561 1000000 1121122 2000000 2242244 2802805 4484488 5605610 8968976 11211220 14014025 17937952 22422440 28028050 35875904 44844880 56056100 70070125 71751808 89689760 112112200 140140250 179379520 224224400 280280500 350350625 358759040 448448800 560561000 700701250 896897600 1121122000 1401402500 1751753125 1793795200 2242244000 2802805000 3503506250 4484488000 5605610000 7007012500 8758765625 8968976000 11211220000 14014025000 17517531250 22422440000 28028050000 35035062500 44844880000 56056100000 70070125000 112112200000 140140250000 224224400000 280280500000 560561000000 1121122000000