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2002021221200 = 24527111310914583
BaseRepresentation
bin11101001000100001110…
…000111000001101010000
321002101120022010112012112
4131020201300320031100
5230300114413034300
64131414342444452
7264432644413160
oct35104160701520
97071508115175
102002021221200
11702063872230
12284008a33728
13116a3622b950
146cc810b05a0
1537125682e35
hex1d221c38350

2002021221200 has 480 divisors, whose sum is σ = 6465318193152. Its totient is φ = 575352576000.

The previous prime is 2002021221197. The next prime is 2002021221217. The reversal of 2002021221200 is 21221202002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436834109 + ... + 436838691.

Almost surely, 22002021221200 is an apocalyptic number.

2002021221200 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 2002021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232659096576).

2002021221200 is an abundant number, since it is smaller than the sum of its proper divisors (4463296971952).

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

2002021221200 is a wasteful number, since it uses less digits than its factorization.

2002021221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002021221200 its reverse (21221202002), we get a palindrome (2023242423202).

The spelling of 2002021221200 in words is "two trillion, two billion, twenty-one million, two hundred twenty-one thousand, two hundred".