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12224238401880 = 23345192297011237
BaseRepresentation
bin1011000111100010110101…
…1000110011100101011000
31121021121220012012011220000
42301320231120303211120
53100240220012330010
641555423153133000
72401113010665141
oct261705530634530
947247805164800
1012224238401880
1139932a799009a
12145518085a160
136a898251969b
14303928c36ac8
15162ea92787c0
hexb1e2d633958

12224238401880 has 640 divisors, whose sum is σ = 43535493144000. Its totient is φ = 3067874611200.

The previous prime is 12224238401849. The next prime is 12224238401927. The reversal of 12224238401880 is 8810483242221.

12224238401880 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 238 + 401 + 8 + 8 + 0 = 666.

12224238401880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9882164622 + ... + 9882165858.

Almost surely, 212224238401880 is an apocalyptic number.

12224238401880 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 12224238401880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767746572000).

12224238401880 is an abundant number, since it is smaller than the sum of its proper divisors (31311254742120).

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

12224238401880 is a wasteful number, since it uses less digits than its factorization.

12224238401880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 12224238401880 in words is "twelve trillion, two hundred twenty-four billion, two hundred thirty-eight million, four hundred one thousand, eight hundred eighty".