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12312340401420 = 2233547569479317
BaseRepresentation
bin1011001100101011000010…
…1011010000110100001100
31121121001022011122110212000
42303022300223100310030
53103211133120321140
642104113332512300
72410352162430513
oct263126053206414
947531264573760
1012312340401420
113a176a81a1364
12146a269a7b690
136b4083058267
14307cc5a2b67a
15165413b8ea30
hexb32b0ad0d0c

12312340401420 has 96 divisors (see below), whose sum is σ = 38305944196800. Its totient is φ = 3283214902272.

The previous prime is 12312340401419. The next prime is 12312340401421. The reversal of 12312340401420 is 2410404321321.

12312340401420 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 234 + 0 + 4 + 0 + 1 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (12312340401419) and next prime (12312340401421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12312340401421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25447602 + ... + 25926918.

It is an arithmetic number, because the mean of its divisors is an integer number (399020252050).

Almost surely, 212312340401420 is an apocalyptic number.

12312340401420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312340401420 is an abundant number, since it is smaller than the sum of its proper divisors (25993603795380).

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

12312340401420 is a wasteful number, since it uses less digits than its factorization.

12312340401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526904 (or 526896 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12312340401420 its reverse (2410404321321), we get a palindrome (14722744722741).

The spelling of 12312340401420 in words is "twelve trillion, three hundred twelve billion, three hundred forty million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 47569 95138 142707 190276 237845 285414 428121 475690 479317 570828 713535 856242 951380 958634 1284363 1427070 1437951 1712484 1917268 2140605 2396585 2568726 2854140 2875902 4281210 4313853 4793170 5137452 5751804 6421815 7189755 8562420 8627706 9586340 12843630 12941559 14379510 17255412 21569265 25687260 25883118 28759020 43138530 51766236 64707795 86277060 129415590 258831180 22800630373 45601260746 68401891119 91202521492 114003151865 136803782238 205205673357 228006303730 273607564476 342009455595 410411346714 456012607460 615617020071 684018911190 820822693428 1026028366785 1231234040142 1368037822380 2052056733570 2462468080284 3078085100355 4104113467140 6156170200710 12312340401420