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2212120020000 = 25354117147207
BaseRepresentation
bin100000001100001100101…
…000001100010000100000
321211110212110002100022010
4200030030220030100200
5242220410211120000
64412122305112520
7315551252632242
oct40141450142040
97743773070263
102212120020000
11783178099440
122b8882628740
131307a984b0c7
14790d24b2092
153c8204cdd50
hex2030ca0c420

2212120020000 has 480 divisors, whose sum is σ = 8027511174144. Its totient is φ = 528707200000.

The previous prime is 2212120019971. The next prime is 2212120020031. The reversal of 2212120020000 is 200212122.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46836397 + ... + 46883603.

Almost surely, 22212120020000 is an apocalyptic number.

2212120020000 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 2212120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013755587072).

2212120020000 is an abundant number, since it is smaller than the sum of its proper divisors (5815391154144).

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

2212120020000 is a wasteful number, since it uses less digits than its factorization.

2212120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47322 (or 47299 counting only the distinct ones).

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

Adding to 2212120020000 its reverse (200212122), we get a palindrome (2212320232122).

The spelling of 2212120020000 in words is "two trillion, two hundred twelve billion, one hundred twenty million, twenty thousand".