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12412012121328 = 2438922567128747
BaseRepresentation
bin1011010010011110010110…
…0100101100110011110000
31121221120120110120110110210
42310213211210230303300
53111324300100340303
642221555531424120
72420511142163301
oct264474544546360
947846513513423
1012412012121328
113a559a52977a6
1214856458b5040
136c05a8847a11
1430ca5d2367a8
15167ce9181203
hexb49e592ccf0

12412012121328 has 80 divisors (see below), whose sum is σ = 32426327082240. Its totient is φ = 4090637388288.

The previous prime is 12412012121317. The next prime is 12412012121437. The reversal of 12412012121328 is 82312121021421.

12412012121328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12412012121295 and 12412012121304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96341851 + ... + 96470597.

It is an arithmetic number, because the mean of its divisors is an integer number (405329088528).

Almost surely, 212412012121328 is an apocalyptic number.

It is an amenable number.

12412012121328 is an abundant number, since it is smaller than the sum of its proper divisors (20014314960912).

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

12412012121328 is a wasteful number, since it uses less digits than its factorization.

12412012121328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151414 (or 151408 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 12412012121328 its reverse (82312121021421), we get a palindrome (94724133142749).

The spelling of 12412012121328 in words is "twelve trillion, four hundred twelve billion, twelve million, one hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 22567 45134 67701 90268 128747 135402 180536 257494 270804 361072 386241 514988 541608 772482 1029976 1083216 1544964 2008463 2059952 3089928 4016926 6025389 6179856 8033852 11458483 12050778 16067704 22916966 24101556 32135408 34375449 45833932 48203112 68750898 91667864 96406224 137501796 183335728 275003592 550007184 2905433549 5810867098 8716300647 11621734196 17432601294 23243468392 34865202588 46486936784 69730405176 139460810352 258583585861 517167171722 775750757583 1034334343444 1551501515166 2068668686888 3103003030332 4137337373776 6206006060664 12412012121328