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12341412402 = 231110117910343
BaseRepresentation
bin10110111111001101…
…10000001000110010
31011212002112201010020
423133212300020302
5200233400144102
65400343144310
7614555163114
oct133746601062
934762481106
1012341412402
115263450890
122485145096
131218b01cb7
148510d13b4
154c370ebbc
hex2df9b0232

12341412402 has 64 divisors (see below), whose sum is σ = 27347880960. Its totient is φ = 3681752000.

The previous prime is 12341412401. The next prime is 12341412409. The reversal of 12341412402 is 20421414321.

12341412402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12341412401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1188043 + ... + 1198385.

It is an arithmetic number, because the mean of its divisors is an integer number (427310640).

Almost surely, 212341412402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341412402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673940480).

12341412402 is an abundant number, since it is smaller than the sum of its proper divisors (15006468558).

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

12341412402 is a wasteful number, since it uses less digits than its factorization.

12341412402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12341412402 its reverse (20421414321), we get a palindrome (32762826723).

The spelling of 12341412402 in words is "twelve billion, three hundred forty-one million, four hundred twelve thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 179 202 303 358 537 606 1074 1111 1969 2222 3333 3938 5907 6666 10343 11814 18079 20686 31029 36158 54237 62058 108474 113773 198869 227546 341319 397738 596607 682638 1044643 1193214 1851397 2089286 3133929 3702794 5554191 6267858 11108382 11491073 20365367 22982146 34473219 40730734 61096101 68946438 122192202 186991097 373982194 560973291 1121946582 2056902067 4113804134 6170706201 12341412402