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1120211200000 = 211551011733
BaseRepresentation
bin10000010011010001110…
…010100110100000000000
310222002110110000002220201
4100103101302212200000
5121323143031400000
62214341245414544
7143634610043614
oct20232162464000
93862413002821
101120211200000
113a2096022772
1216113056a454
138183515c009
143c30b849344
151e21503996a
hex104d1ca6800

1120211200000 has 288 divisors, whose sum is σ = 2829016040760. Its totient is φ = 443392000000.

The previous prime is 1120211199889. The next prime is 1120211200001. The reversal of 1120211200000 is 21120211.

It can be written as a sum of positive squares in 12 ways, for example, as 241057432576 + 879153767424 = 490976^2 + 937632^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120211200000.

It is not an unprimeable number, because it can be changed into a prime (1120211200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646399134 + ... + 646400866.

Almost surely, 21120211200000 is an apocalyptic number.

1120211200000 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 1120211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414508020380).

1120211200000 is an abundant number, since it is smaller than the sum of its proper divisors (1708804840760).

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

1120211200000 is an frugal number, since it uses more digits than its factorization.

1120211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1841 counting only the distinct ones).

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

Adding to 1120211200000 its reverse (21120211), we get a palindrome (1120232320211).

The spelling of 1120211200000 in words is "one trillion, one hundred twenty billion, two hundred eleven million, two hundred thousand".