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2221212010000 = 24541747277999
BaseRepresentation
bin100000010100101010100…
…011011000011000010000
321212100100002021021212111
4200110222203120120100
5242343020233310000
64420224414035104
7316322463364564
oct40245243303020
97770302237774
102221212010000
11787013300065
122ba59b4a8a94
131315c8399049
1479715bd16a4
153cba37cbcba
hex2052a8d8610

2221212010000 has 200 divisors, whose sum is σ = 5815288512000. Its totient is φ = 818426112000.

The previous prime is 2221212009931. The next prime is 2221212010007. The reversal of 2221212010000 is 102121222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (2221212010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7851001 + ... + 8128999.

It is an arithmetic number, because the mean of its divisors is an integer number (29076442560).

Almost surely, 22221212010000 is an apocalyptic number.

2221212010000 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 2221212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907644256000).

2221212010000 is an abundant number, since it is smaller than the sum of its proper divisors (3594076502000).

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

2221212010000 is a wasteful number, since it uses less digits than its factorization.

2221212010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278091 (or 278070 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2221212010000 its reverse (102121222), we get a palindrome (2221314131222).

The spelling of 2221212010000 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, ten thousand".