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1200212000100 = 223452301149211
BaseRepresentation
bin10001011101110010001…
…101011011110101100100
311020201221211121211110000
4101131302031123311210
5124131013233000400
62315211512301300
7152466241450101
oct21356215336544
94221854554400
101200212000100
11423009425993
121747386a1830
13892444b4059
144213a751aa8
1521348615600
hex1177235bd64

1200212000100 has 180 divisors, whose sum is σ = 3891984365808. Its totient is φ = 319943736000.

The previous prime is 1200212000089. The next prime is 1200212000111. The reversal of 1200212000100 is 10002120021.

It is an interprime number because it is at equal distance from previous prime (1200212000089) and next prime (1200212000111).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24364495 + ... + 24413705.

Almost surely, 21200212000100 is an apocalyptic number.

1200212000100 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 1200212000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945992182904).

1200212000100 is an abundant number, since it is smaller than the sum of its proper divisors (2691772365708).

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

1200212000100 is a wasteful number, since it uses less digits than its factorization.

1200212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52248 (or 52232 counting only the distinct ones).

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

Adding to 1200212000100 its reverse (10002120021), we get a palindrome (1210214120121).

The spelling of 1200212000100 in words is "one trillion, two hundred billion, two hundred twelve million, one hundred", and thus it is an aban number.