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12001351332414 = 23233718191129209
BaseRepresentation
bin1010111010100100100001…
…0010000111001000111110
31120111022120210211220101010
42232221020102013020332
53033112231420114124
641305202241500050
72346032450110113
oct256511022071076
946438523756333
1012001351332414
113907820a52954
121419b38341626
1369095165b572
142d6c2326290a
1515c2b18a0529
hexaea4848723e

12001351332414 has 64 divisors (see below), whose sum is σ = 25724838574080. Its totient is φ = 3722864935680.

The previous prime is 12001351332409. The next prime is 12001351332433. The reversal of 12001351332414 is 41423315310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92818642 + ... + 92947850.

It is an arithmetic number, because the mean of its divisors is an integer number (401950602720).

Almost surely, 212001351332414 is an apocalyptic number.

12001351332414 is an abundant number, since it is smaller than the sum of its proper divisors (13723487241666).

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

12001351332414 is a wasteful number, since it uses less digits than its factorization.

12001351332414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147465.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 12001351332414 its reverse (41423315310021), we get a palindrome (53424666642435).

The spelling of 12001351332414 in words is "twelve trillion, one billion, three hundred fifty-one million, three hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 222 851 1702 2553 5106 18191 36382 54573 109146 129209 258418 387627 418393 673067 775254 836786 1255179 1346134 2019201 2510358 2971807 4038402 4780733 5943614 8915421 9561466 14342199 15480541 17830842 28684398 30961082 46441623 92883246 109956859 219913718 329870577 659741154 2350440919 4700881838 7051322757 14102645514 54060141137 86966314003 108120282274 162180423411 173932628006 260898942009 324360846822 521797884018 2000225222069 4000450444138 6000675666207 12001351332414