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12212173246464 = 2123460672
BaseRepresentation
bin1011000110110101111000…
…1111111001000000000000
31121020110202100110210010000
42301231132033321000000
53100041012322341324
641550110035040000
72400205015603002
oct261553617710000
947213670423100
1012212173246464
113989176477274
121452974140000
136a77aba21479
143031026d8372
151629eee379c9
hexb1b5e3f9000

12212173246464 has 195 divisors, whose sum is σ = 36487312402827. Its totient is φ = 4070053453824.

The previous prime is 12212173246349. The next prime is 12212173246571. The reversal of 12212173246464 is 46464237121221.

The square root of 12212173246464 is 3494592.

It is a perfect power (a square), and thus also a powerful number.

12212173246464 is a `hidden beast` number, since 1 + 2 + 2 + 12 + 173 + 2 + 4 + 6 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2012881959 + ... + 2012888025.

Almost surely, 212212173246464 is an apocalyptic number.

12212173246464 is the 3494592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212173246464

12212173246464 is an abundant number, since it is smaller than the sum of its proper divisors (24275139156363).

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

12212173246464 is an frugal number, since it uses more digits than its factorization.

12212173246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 6072 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 12212173246464 in words is "twelve trillion, two hundred twelve billion, one hundred seventy-three million, two hundred forty-six thousand, four hundred sixty-four".