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1100212120000 = 26547171811277
BaseRepresentation
bin10000000000101001110…
…000001010100111000000
310220011211200012120200001
4100000221300022213000
5121011213300320000
62201232552005344
7142326165501130
oct20005160124700
93804750176601
101100212120000
11394663071984
1215928a990854
137c998a17076
143b371722ac0
151d94440146a
hex10029c0a9c0

1100212120000 has 560 divisors, whose sum is σ = 3322151921088. Its totient is φ = 352788480000.

The previous prime is 1100212119977. The next prime is 1100212120003. The reversal of 1100212120000 is 212120011.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100212120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861559362 + ... + 861560638.

Almost surely, 21100212120000 is an apocalyptic number.

1100212120000 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 1100212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661075960544).

1100212120000 is an abundant number, since it is smaller than the sum of its proper divisors (2221939801088).

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

1100212120000 is a wasteful number, since it uses less digits than its factorization.

1100212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1489 counting only the distinct ones).

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

Adding to 1100212120000 its reverse (212120011), we get a palindrome (1100424240011).

The spelling of 1100212120000 in words is "one trillion, one hundred billion, two hundred twelve million, one hundred twenty thousand".