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12722394483360 = 2534517225713217
BaseRepresentation
bin1011100100100010100111…
…0011011100101010100000
31200001020201112202010110000
42321020221303130222200
53131420430441431420
643020330510540000
72452106536552002
oct271105163345240
950036645663400
1012722394483360
1140655a0017291
121515828207600
1371394163b0c3
1431daa51d0372
15170e1307a690
hexb9229cdcaa0

12722394483360 has 720 divisors, whose sum is σ = 47885166202104. Its totient is φ = 3180406505472.

The previous prime is 12722394483347. The next prime is 12722394483367. The reversal of 12722394483360 is 6338449322721.

It is a happy number.

12722394483360 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 239 + 4 + 48 + 3 + 360 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7804804389264 + 4917590094096 = 2793708^2 + 2217564^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×127223944833602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12722394483297 and 12722394483306.

It is not an unprimeable number, because it can be changed into a prime (12722394483367) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 962571472 + ... + 962584688.

Almost surely, 212722394483360 is an apocalyptic number.

12722394483360 is a gapful number since it is divisible by the number (10) 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 12722394483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23942583101052).

12722394483360 is an abundant number, since it is smaller than the sum of its proper divisors (35162771718744).

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

12722394483360 is a wasteful number, since it uses less digits than its factorization.

12722394483360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13535 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 12722394483360 in words is "twelve trillion, seven hundred twenty-two billion, three hundred ninety-four million, four hundred eighty-three thousand, three hundred sixty".