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12442200512 = 267227122347
BaseRepresentation
bin10111001011001110…
…01110100111000000
31012010010012021102012
423211213032213000
5200440200404022
65414343312052
7620220650030
oct134547164700
935103167365
1012442200512
115305330445
1224b2a4b628
131233960431
148606498c0
154cc4bcde2
hex2e59ce9c0

12442200512 has 56 divisors (see below), whose sum is σ = 28341669504. Its totient is φ = 5308837632.

The previous prime is 12442200503. The next prime is 12442200557. The reversal of 12442200512 is 21500224421.

12442200512 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 (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40523 + ... + 162869.

Almost surely, 212442200512 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 12442200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170834752).

12442200512 is an abundant number, since it is smaller than the sum of its proper divisors (15899468992).

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

12442200512 is a wasteful number, since it uses less digits than its factorization.

12442200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122593 (or 122583 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 12442200512 its reverse (21500224421), we get a palindrome (33942424933).

The spelling of 12442200512 in words is "twelve billion, four hundred forty-two million, two hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 227 448 454 908 1589 1816 3178 3632 6356 7264 12712 14528 25424 50848 101696 122347 244694 489388 856429 978776 1712858 1957552 3425716 3915104 6851432 7830208 13702864 27405728 27772769 54811456 55545538 111091076 194409383 222182152 388818766 444364304 777637532 888728608 1555275064 1777457216 3110550128 6221100256 12442200512