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12208064890032 = 24321161379333367
BaseRepresentation
bin1011000110100110100101…
…0111110000010010110000
31121020002011000212122120200
42301221221113300102300
53100004104102440112
641544150234435200
72400001141261314
oct261515127602260
947202130778520
1012208064890032
113987458404280
121452008292b00
136a72a582182b
14302c32c19b44
1516285e40bcdc
hexb1a695f04b0

12208064890032 has 240 divisors, whose sum is σ = 37982669786880. Its totient is φ = 3629155622400.

The previous prime is 12208064890027. The next prime is 12208064890061. The reversal of 12208064890032 is 23009846080221.

It is a super-2 number, since 2×122080648900322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12208064890032.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36453813 + ... + 36787179.

It is an arithmetic number, because the mean of its divisors is an integer number (158261124112).

Almost surely, 212208064890032 is an apocalyptic number.

12208064890032 is a gapful number since it is divisible by the number (12) 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 12208064890032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991334893440).

12208064890032 is an abundant number, since it is smaller than the sum of its proper divisors (25774604896848).

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

12208064890032 is a wasteful number, since it uses less digits than its factorization.

12208064890032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333832 (or 333823 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12208064890032 in words is "twelve trillion, two hundred eight billion, sixty-four million, eight hundred ninety thousand, thirty-two".