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2212122200000 = 2655411012671
BaseRepresentation
bin100000001100001100110…
…000100000011111000000
321211110212121012002200212
4200030030300200133000
5242220411240400000
64412122423533252
7315551310312026
oct40141460403700
97743777162625
102212122200000
11783179348299
122b88832ba228
131307aa13244b
14790d28bc716
153c8207aec35
hex2030cc207c0

2212122200000 has 336 divisors, whose sum is σ = 5678346312576. Its totient is φ = 854400000000.

The previous prime is 2212122199997. The next prime is 2212122200033. The reversal of 2212122200000 is 22212122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828198665 + ... + 828201335.

It is an arithmetic number, because the mean of its divisors is an integer number (16899840216).

Almost surely, 22212122200000 is an apocalyptic number.

2212122200000 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 2212122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839173156288).

2212122200000 is an abundant number, since it is smaller than the sum of its proper divisors (3466224112576).

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

2212122200000 is an equidigital number, since it uses as much as digits as its factorization.

2212122200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2820 counting only the distinct ones).

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

Adding to 2212122200000 its reverse (22212122), we get a palindrome (2212144412122).

The spelling of 2212122200000 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred thousand".