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2220121020000 = 25354138931981
BaseRepresentation
bin100000010011101001100…
…001100101011001100000
321212020112001101020221110
4200103221201211121200
5242333301440120000
64415524242223320
7316253445205662
oct40235141453140
97766461336843
102220121020000
1178660348a134
122ba336054b40
13131483351430
1479650d5a532
153cb3cb25850
hex204e9865660

2220121020000 has 480 divisors, whose sum is σ = 7930996143840. Its totient is φ = 540334080000.

The previous prime is 2220121019993. The next prime is 2220121020001. The reversal of 2220121020000 is 201210222.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220121020001) 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, 69404010 + ... + 69435990.

It is an arithmetic number, because the mean of its divisors is an integer number (16522908633).

Almost surely, 22220121020000 is an apocalyptic number.

2220121020000 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 2220121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965498071920).

2220121020000 is an abundant number, since it is smaller than the sum of its proper divisors (5710875123840).

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

2220121020000 is a wasteful number, since it uses less digits than its factorization.

2220121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32116 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2220121020000 its reverse (201210222), we get a palindrome (2220322230222).

The spelling of 2220121020000 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, twenty thousand".