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67212213120 = 27325136713397
BaseRepresentation
bin111110100110001010…
…001111101110000000
320102111010122012012200
4332212022033232000
52100122311304440
650513222553200
74566403246053
oct764612175600
9212433565180
1067212213120
11265605a6578
1211039298800
136451a05410
143378690a9a
151b359d9c30
hexfa628fb80

67212213120 has 384 divisors, whose sum is σ = 253694881440. Its totient is φ = 16296394752.

The previous prime is 67212213113. The next prime is 67212213139. The reversal of 67212213120 is 2131221276.

67212213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5010262 + ... + 5023658.

Almost surely, 267212213120 is an apocalyptic number.

67212213120 is a gapful number since it is divisible by the number (60) 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 67212213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126847440720).

67212213120 is an abundant number, since it is smaller than the sum of its proper divisors (186482668320).

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

67212213120 is a wasteful number, since it uses less digits than its factorization.

67212213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13487 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 67212213120 its reverse (2131221276), we get a palindrome (69343434396).

The spelling of 67212213120 in words is "sixty-seven billion, two hundred twelve million, two hundred thirteen thousand, one hundred twenty".