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1120001000000 = 26561120001
BaseRepresentation
bin10000010011000101010…
…000110000001001000000
310222001220210110211201112
4100103011100300021000
5121322230224000000
62214304340222452
7143626445264621
oct20230520601100
93861823424645
101120001000000
113a1a98403363
1216109209aa28
138180074310c
143c2cb96da48
151e201868235
hex104c5430240

1120001000000 has 98 divisors (see below), whose sum is σ = 2778094400874. Its totient is φ = 448000000000.

The previous prime is 1120000999993. The next prime is 1120001000059. The reversal of 1120001000000 is 1000211.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 1063257948736 + 56743051264 = 1031144^2 + 238208^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 440000 + ... + 1560000.

Almost surely, 21120001000000 is an apocalyptic number.

1120001000000 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 1120001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389047200437).

1120001000000 is an abundant number, since it is smaller than the sum of its proper divisors (1658093400874).

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

1120001000000 is an frugal number, since it uses more digits than its factorization.

1120001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120043 (or 1120008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1120001000000 its reverse (1000211), we get a palindrome (1120002000211).

The spelling of 1120001000000 in words is "one trillion, one hundred twenty billion, one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1120001 2240002 4480004 5600005 8960008 11200010 17920016 22400020 28000025 35840032 44800040 56000050 71680064 89600080 112000100 140000125 179200160 224000200 280000250 358400320 448000400 560000500 700000625 896000800 1120001000 1400001250 1792001600 2240002000 2800002500 3500003125 4480004000 5600005000 7000006250 8960008000 11200010000 14000012500 17500015625 22400020000 28000025000 35000031250 44800040000 56000050000 70000062500 112000100000 140000125000 224000200000 280000250000 560000500000 1120001000000