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1320212134240 = 25567347354911
BaseRepresentation
bin10011001101100010110…
…001100111100101100000
311200012200212001020221121
4103031202301213211200
5133112243301243430
62450255211502024
7164245041661426
oct23154261474540
94605625036847
101320212134240
1146999837186a
12193a48457914
139765971749c
1447c81ad1116
152451d5e5a7a
hex13362c67960

1320212134240 has 96 divisors (see below), whose sum is σ = 3174685000704. Its totient is φ = 518702384640.

The previous prime is 1320212134223. The next prime is 1320212134279. The reversal of 1320212134240 is 424312120231.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3542385 + ... + 3897295.

It is an arithmetic number, because the mean of its divisors is an integer number (33069635424).

Almost surely, 21320212134240 is an apocalyptic number.

1320212134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320212134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587342500352).

1320212134240 is an abundant number, since it is smaller than the sum of its proper divisors (1854472866464).

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

1320212134240 is a wasteful number, since it uses less digits than its factorization.

1320212134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355340 (or 355332 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1320212134240 its reverse (424312120231), we get a palindrome (1744524254471).

The spelling of 1320212134240 in words is "one trillion, three hundred twenty billion, two hundred twelve million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 347 536 670 694 1072 1340 1388 1735 2144 2680 2776 3470 5360 5552 6940 10720 11104 13880 23249 27760 46498 55520 92996 116245 185992 232490 354911 371984 464980 709822 743968 929960 1419644 1774555 1859920 2839288 3549110 3719840 5678576 7098220 11357152 14196440 23779037 28392880 47558074 56785760 95116148 118895185 123154117 190232296 237790370 246308234 380464592 475580740 492616468 615770585 760929184 951161480 985232936 1231541170 1902322960 1970465872 2463082340 3804645920 3940931744 4926164680 8251325839 9852329360 16502651678 19704658720 33005303356 41256629195 66010606712 82513258390 132021213424 165026516780 264042426848 330053033560 660106067120 1320212134240