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201120210001200 = 24352753334489571
BaseRepresentation
bin101101101110101011110010…
…101011001001110100110000
3222101002220102020101021001010
4231232223302223021310300
5202330123142230014300
61551425203213310520
760235312202236410
oct5556536253116460
9871086366337033
10201120210001200
11590a0669397376
121a68253b495440
13882b7290bb339
1437943ad23a640
15183b8e8e3da50
hexb6eaf2ac9d30

201120210001200 has 240 divisors, whose sum is σ = 736429738980096. Its totient is φ = 45961703500800.

The previous prime is 201120210001127. The next prime is 201120210001223. The reversal of 201120210001200 is 2100012021102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42552415 + ... + 47041985.

Almost surely, 2201120210001200 is an apocalyptic number.

201120210001200 is a gapful number since it is divisible by the number (20) 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 201120210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368214869490048).

201120210001200 is an abundant number, since it is smaller than the sum of its proper divisors (535309528978896).

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

201120210001200 is a wasteful number, since it uses less digits than its factorization.

201120210001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494932 (or 4494921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120210001200 its reverse (2100012021102), we get a palindrome (203220222022302).

The spelling of 201120210001200 in words is "two hundred one trillion, one hundred twenty billion, two hundred ten million, one thousand, two hundred".