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12229042402080 = 2532572415971647
BaseRepresentation
bin1011000111110100101110…
…1110100111001100100000
31121022002021222202200021100
42301331023232213030200
53100330034323331310
642001540003354400
72401343033215500
oct261751356471440
947262258680240
1012229042402080
113995342697599
1214560a1682a00
136a926989195a
14303c62c77a00
1516318adb5ec0
hexb1f4bba7320

12229042402080 has 864 divisors, whose sum is σ = 50572522990080. Its totient is φ = 2680775516160.

The previous prime is 12229042402067. The next prime is 12229042402081. The reversal of 12229042402080 is 8020424092221.

12229042402080 is a `hidden beast` number, since 1 + 2 + 2 + 29 + 0 + 424 + 0 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12229042402081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170648817 + ... + 170720463.

It is an arithmetic number, because the mean of its divisors is an integer number (58533012720).

Almost surely, 212229042402080 is an apocalyptic number.

12229042402080 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 12229042402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286261495040).

12229042402080 is an abundant number, since it is smaller than the sum of its proper divisors (38343480588000).

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

12229042402080 is a wasteful number, since it uses less digits than its factorization.

12229042402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71782 (or 71764 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12229042402080 in words is "twelve trillion, two hundred twenty-nine billion, forty-two million, four hundred two thousand, eighty".