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1297127987216 = 241937227508021
BaseRepresentation
bin10010111000000010110…
…110100101100000010000
311121000010002011002100022
4102320002312211200100
5132223004231042331
62431520430243012
7162500016654305
oct22700266454020
94530102132308
101297127987216
11460121a29506
1218b485656468
139541b0a54a9
1446ad1d7b0ac
1523b1bc1367b
hex12e02da5810

1297127987216 has 80 divisors (see below), whose sum is σ = 2728931616960. Its totient is φ = 595188103680.

The previous prime is 1297127987191. The next prime is 1297127987297. The reversal of 1297127987216 is 6127897217921.

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, 2299286 + ... + 2807306.

It is an arithmetic number, because the mean of its divisors is an integer number (34111645212).

Almost surely, 21297127987216 is an apocalyptic number.

1297127987216 is a gapful number since it is divisible by the number (16) 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 1297127987216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364465808480).

1297127987216 is an abundant number, since it is smaller than the sum of its proper divisors (1431803629744).

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

1297127987216 is a wasteful number, since it uses less digits than its factorization.

1297127987216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508312 (or 508306 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 62.

The spelling of 1297127987216 in words is "one trillion, two hundred ninety-seven billion, one hundred twenty-seven million, nine hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 227 296 304 454 592 703 908 1406 1816 2812 3632 4313 5624 8399 8626 11248 16798 17252 33596 34504 67192 69008 134384 159581 319162 508021 638324 1016042 1276648 2032084 2553296 4064168 8128336 9652399 18796777 19304798 37593554 38609596 75187108 77219192 115320767 150374216 154438384 230641534 300748432 357138763 461283068 714277526 922566136 1428555052 1845132272 2191094573 2857110104 4266868379 4382189146 5714220208 8533736758 8764378292 17067473516 17528756584 34134947032 35057513168 68269894064 81070499201 162140998402 324281996804 648563993608 1297127987216