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12021896844144 = 24331112754136821
BaseRepresentation
bin1010111011110001000011…
…1001000001001101110000
31120120021121122212001001000
42232330100321001031300
53033431321043003034
641322441055242000
72350360545063165
oct256742071011560
946507548761030
1012021896844144
1139155043a3a10
121421b10b19300
136928770647b5
142d7c11b8a06c
1515cab5474599
hexaef10e41370

12021896844144 has 320 divisors, whose sum is σ = 38011898511360. Its totient is φ = 3607535232000.

The previous prime is 12021896844121. The next prime is 12021896844187. The reversal of 12021896844144 is 44144869812021.

It is a happy number.

12021896844144 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 89 + 68 + 441 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326477254 + ... + 326514074.

It is an arithmetic number, because the mean of its divisors is an integer number (118787182848).

Almost surely, 212021896844144 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 12021896844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005949255680).

12021896844144 is an abundant number, since it is smaller than the sum of its proper divisors (25990001667216).

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

12021896844144 is a wasteful number, since it uses less digits than its factorization.

12021896844144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37517 (or 37505 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12021896844144 in words is "twelve trillion, twenty-one billion, eight hundred ninety-six million, eight hundred forty-four thousand, one hundred forty-four".