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12032121414 = 2319320814993
BaseRepresentation
bin10110011010010101…
…11001101001000110
31011001112120002122110
423031022321221012
5144120210341124
65305534041450
7604111226115
oct131512715106
934045502573
1012032121414
1151149009a5
1223b9649286
131199a00291
14821dbdc7c
154a64b8029
hex2cd2b9a46

12032121414 has 32 divisors (see below), whose sum is σ = 24205398624. Its totient is φ = 3987210240.

The previous prime is 12032121407. The next prime is 12032121503. The reversal of 12032121414 is 41412123021.

12032121414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407302 + ... + 2412294.

It is an arithmetic number, because the mean of its divisors is an integer number (756418707).

Almost surely, 212032121414 is an apocalyptic number.

12032121414 is an abundant number, since it is smaller than the sum of its proper divisors (12173277210).

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

12032121414 is a wasteful number, since it uses less digits than its factorization.

12032121414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12032121414 its reverse (41412123021), we get a palindrome (53444244435).

The spelling of 12032121414 in words is "twelve billion, thirty-two million, one hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 193 386 579 1158 2081 4162 4993 6243 9986 12486 14979 29958 401633 803266 963649 1204899 1927298 2409798 2890947 5781894 10390433 20780866 31171299 62342598 2005353569 4010707138 6016060707 12032121414