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12213738873856 = 2101323122712
BaseRepresentation
bin1011000110111011101110…
…0100010010010000000000
31121020121210110110220010201
42301232323210102100000
53100102214122430411
641550525243534544
72400261556323232
oct261567344222000
947217713426121
1012213738873856
1139898aa201303
12145313052a454
136a799b1b0c00
14303210602252
15162a925e73c1
hexb1bbb912400

12213738873856 has 297 divisors, whose sum is σ = 27419672768409. Its totient is φ = 5435137843200.

The previous prime is 12213738873667. The next prime is 12213738873857. The reversal of 12213738873856 is 65837883731221.

The square root of 12213738873856 is 3494816.

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

It can be written as a sum of positive squares in only one way, i.e., 1806766105600 + 10406972768256 = 1344160^2 + 3225984^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12213738873857) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45069147001 + ... + 45069147271.

Almost surely, 212213738873856 is an apocalyptic number.

12213738873856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12213738873856 is the 3494816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213738873856

12213738873856 is an abundant number, since it is smaller than the sum of its proper divisors (15205933894553).

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

12213738873856 is an frugal number, since it uses more digits than its factorization.

12213738873856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 317 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 64.

Multiplying 12213738873856 by its sum of digits (64), we get a square (781679287926784 = 279585282).

12213738873856 divided by its sum of digits (64) gives a square (190839669904 = 4368522).

The spelling of 12213738873856 in words is "twelve trillion, two hundred thirteen billion, seven hundred thirty-eight million, eight hundred seventy-three thousand, eight hundred fifty-six".