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2214222120000 = 2632541117311061
BaseRepresentation
bin100000001110001001111…
…011000100010001000000
321211200021221120002101200
4200032021323010101000
5242234211330320000
64413111040301200
7315654326323542
oct40161173042100
97750257502350
102214222120000
11784056731270
122b916a611800
13130a531c2a67
1479251747692
153c8e4d0d500
hex20389ec4440

2214222120000 has 1680 divisors, whose sum is σ = 9465124990464. Its totient is φ = 488448000000.

The previous prime is 2214222119929. The next prime is 2214222120007. The reversal of 2214222120000 is 212224122.

2214222120000 is a `hidden beast` number, since 2 + 21 + 422 + 21 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2214222120007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2086919470 + ... + 2086920530.

Almost surely, 22214222120000 is an apocalyptic number.

2214222120000 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 2214222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732562495232).

2214222120000 is an abundant number, since it is smaller than the sum of its proper divisors (7250902870464).

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

2214222120000 is a wasteful number, since it uses less digits than its factorization.

2214222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2214222120000 its reverse (212224122), we get a palindrome (2214434344122).

The spelling of 2214222120000 in words is "two trillion, two hundred fourteen billion, two hundred twenty-two million, one hundred twenty thousand".