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12190828027032 = 23324159361319373
BaseRepresentation
bin1011000101100110010111…
…1110010101110010011000
31121011102122202200021201100
42301121211332111302120
53044213303433331112
641532220012551400
72365521040331364
oct261314576256230
947142582607640
1012190828027032
113980112674a56
12144a7b7782560
136a5789738405
143020798c02a4
151621a10482dc
hexb1665f95c98

12190828027032 has 192 divisors, whose sum is σ = 34406666330400. Its totient is φ = 3896022251520.

The previous prime is 12190828027019. The next prime is 12190828027033. The reversal of 12190828027032 is 23072082809121.

12190828027032 is a `hidden beast` number, since 12 + 1 + 90 + 8 + 280 + 270 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190828027033) 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 47 ways as a sum of consecutive naturals, for example, 629259298 + ... + 629278670.

Almost surely, 212190828027032 is an apocalyptic number.

12190828027032 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 12190828027032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203333165200).

12190828027032 is an abundant number, since it is smaller than the sum of its proper divisors (22215838303368).

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

12190828027032 is a wasteful number, since it uses less digits than its factorization.

12190828027032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23098 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12190828027032 in words is "twelve trillion, one hundred ninety billion, eight hundred twenty-eight million, twenty-seven thousand, thirty-two".