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12273235968 = 211371372083
BaseRepresentation
bin10110110111000101…
…01011100000000000
31011200100020222122010
423123202223200000
5200113422022333
65345510012520
7613066533030
oct133342534000
934610228563
1012273235968
115228a15924
122466347140
131207951506
148460258c0
154bc744563
hex2db8ab800

12273235968 has 192 divisors, whose sum is σ = 37686055680. Its totient is φ = 3479371776.

The previous prime is 12273235967. The next prime is 12273235973. The reversal of 12273235968 is 86953237221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×122732359682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273235963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5891055 + ... + 5893137.

It is an arithmetic number, because the mean of its divisors is an integer number (196281540).

Almost surely, 212273235968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12273235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18843027840).

12273235968 is an abundant number, since it is smaller than the sum of its proper divisors (25412819712).

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

12273235968 is a wasteful number, since it uses less digits than its factorization.

12273235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2232 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 12273235968 in words is "twelve billion, two hundred seventy-three million, two hundred thirty-five thousand, nine hundred sixty-eight".