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12311012211220 = 2251278148161381
BaseRepresentation
bin1011001100100110000110…
…0000100111101000010100
31121120220212121102102102101
42303021201200213220110
53103200423111224340
642103333445051444
72410304234130052
oct263114140475024
947526777372371
1012311012211220
113a1708649a408
121469b590b6b84
136b3c00b2ccb8
14307bdb48d1d2
15165387281c9a
hexb3261827a14

12311012211220 has 24 divisors (see below), whose sum is σ = 25855148958408. Its totient is φ = 4924019491200.

The previous prime is 12311012211217. The next prime is 12311012211241. The reversal of 12311012211220 is 2211221011321.

It can be written as a sum of positive squares in 4 ways, for example, as 478595541636 + 11832416669584 = 691806^2 + 3439828^2 .

It is a super-2 number, since 2×123110122112202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23825071 + ... + 24336310.

It is an arithmetic number, because the mean of its divisors is an integer number (1077297873267).

Almost surely, 212311012211220 is an apocalyptic number.

12311012211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311012211220 is an abundant number, since it is smaller than the sum of its proper divisors (13544136747188).

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

12311012211220 is a wasteful number, since it uses less digits than its factorization.

12311012211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48174171 (or 48174169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12311012211220 its reverse (2211221011321), we get a palindrome (14522233222541).

The spelling of 12311012211220 in words is "twelve trillion, three hundred eleven billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 12781 25562 51124 63905 127810 255620 48161381 96322762 192645524 240806905 481613810 963227620 615550610561 1231101221122 2462202442244 3077753052805 6155506105610 12311012211220